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Paper Citation Record · LEDGER

The hard-core model in graph theory

As of 12 August 2026, this Paper Citation Record lists 79 of 79 outbound references and 3 inbound Pith citation observations for arXiv:2501.03379.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2501.03379 v2

Coverage vector

measured 79 of 79 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:07:55.623790Z

measured 82 of 82 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T00:24:26.395251Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

79 of 79 outbound references displayed

  • verified exact0
  • verified fuzzy48
  • unresolved31
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation c8155bf7-3a17-4ebc-b3c4-21936cc4d012 · outbound

This paper cites Ajtai, P.

The hard-core model in graph theory Ajtai, P

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.602250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.345271Z digest=sha256:ac99e6ac11d046527228b61dd234e07a10ad06c5b4fd6131ecdba506a2e0aa6b

Observation 856f3186-1c54-4415-8aca-e99298b172a6 · outbound

This paper cites Ajtai, J.

The hard-core model in graph theory Ajtai, J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.591083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.350087Z digest=sha256:4951dfb251424ab5670073c353ecd55c6a0a045343ade49cf99610504bf24784

Observation 019a65ae-dfbf-4035-a83d-890c0b50ec51 · outbound

This paper cites Ajtai, J.

The hard-core model in graph theory Ajtai, J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.580267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.353662Z digest=sha256:0ced28b622f096a7d5d668df46d7d5814df486d812df42076ee39f6e054345da

Observation 78951eba-28a9-4e8f-8400-52d7f1d4e197 · outbound

This paper cites Alon, The linear arboricity of graphs, Israel J.

The hard-core model in graph theory Alon, The linear arboricity of graphs, Israel J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.570038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.357489Z digest=sha256:b34fbc8fd7a5c5cf74d1d222cc3789beedca01db43375db9acde9e9dd8bedb50

Observation e54ba687-dd37-48c8-a281-a59baf497cad · outbound

This paper cites Alon, Independent sets in regular graphs and sum-free subsets of finite groups, Israel J.

The hard-core model in graph theory Alon, Independent sets in regular graphs and sum-free subsets of finite groups, Israel J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.558720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.361051Z digest=sha256:b79b34c240ccdcc4eb1f4e74efae55b7cc3e9dcc27c7f27478f8cbb8f3dc98fd

Observation ac284a32-2dc1-473f-a0cc-26fac91f0e91 · outbound

This paper cites Alon, Independence numbers of locally sparse graphs and a Ramsey type problem, Random Structures Algorithms 9 (1996), 271–278.

The hard-core model in graph theory Alon, Independence numbers of locally sparse graphs and a Ramsey type problem, Random Structures Algorithms 9 (1996), 271–278

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.547846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.364481Z digest=sha256:7f0a64a705cf6ea0d85aeab680ff1e01134a31bb00d610621f3b59e200bd9363

Observation b08af4b5-6716-4542-9e4d-b69a58dbc637 · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:56.536101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.368154Z digest=sha256:16ea4fc155a77dd544fd48024fc9b28f35d0ff8923e4598271993c1064f5fde7

Observation 92e6fa8b-2f4a-4236-acd7-43dbef5d6ead · outbound

This paper cites Alon and M.

The hard-core model in graph theory Alon and M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.524280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.371216Z digest=sha256:344c719e523bdc90b70d5e965a492c535680ae9dbc66bdba224a28403b6e9e54

Observation 8cdbad46-fcd9-4872-8572-3287cb5552b3 · outbound

This paper cites Alon and J.

The hard-core model in graph theory Alon and J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.512263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.374184Z digest=sha256:9b0e986e220bdd775a674a179fdad9cb6927997287f5ebb44d666ccc3e624c92

Observation a04b12ec-3d82-473d-9f4a-b7f74c642570 · outbound

This paper cites van den Berg and J.

The hard-core model in graph theory van den Berg and J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.499295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.377767Z digest=sha256:7984195719923d4b937c4b2abd2a6c6c0d76f5e7a1eb8a672e508cd0785557c4

Observation 00d90ba5-ea44-4ced-a1c2-b91bbd81999c · outbound

This paper cites Bernshteyn, The Johansson-Molloy theorem for DP-coloring, Random Structures Algorithms 54 (2019), 653–664.

The hard-core model in graph theory Bernshteyn, The Johansson-Molloy theorem for DP-coloring, Random Structures Algorithms 54 (2019), 653–664

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.487803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.381304Z digest=sha256:905a8eb30ce555a28cd7dc31764424b4ef59c6e31d8f429f719612537982f5f7

Observation 8f23ca79-cf2c-4676-b86c-fdbc8a99d18c · outbound

This paper cites Bhatnagar, A.

The hard-core model in graph theory Bhatnagar, A

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.476842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.385055Z digest=sha256:2ce6f41651b499eb1ecc6c5eff1712a2e9293c7dec7fb69b126ad01888266583

Observation ab4ea83b-6fb7-4f9b-824f-b74d42b82176 · outbound

This paper cites Bohman, The triangle-free process, Adv.

The hard-core model in graph theory Bohman, The triangle-free process, Adv

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.467309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.388562Z digest=sha256:3cc4a831ccced4b6f8102ddad7c45825d3f69dd9d18148e65702b74634a8acab

Observation 44f15410-c999-427a-8895-95016a18ac69 · outbound

This paper cites Bohman and R.

The hard-core model in graph theory Bohman and R

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.457731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.392205Z digest=sha256:2f7e9dc180adb87db1994d59576353d02894c7fefd67deeefd0a556e9a78f33f

Observation 9762a261-5608-4324-99c1-ee798212278f · outbound

This paper cites Bohman and P.

The hard-core model in graph theory Bohman and P

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.448034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.395656Z digest=sha256:bfcbeb0258d5347fa4fe100ed155aa3d857664f66391cb48b4fe82296e384bb8

Observation e7d549f2-5dcd-4768-a3d4-084527f2b5ae · outbound

This paper cites Bonamy, T.

The hard-core model in graph theory Bonamy, T

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.437033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.399337Z digest=sha256:4c8d8ea316ff5671caa93c02433d62b9cac522f8bff7e0ac81a6e80cf6f37ca1

Observation fddb556c-43b2-4295-b7f0-2d19daed6030 · outbound

This paper cites Bradshaw, Graph Colorings with Local Restrictions , Ph.D.

The hard-core model in graph theory Bradshaw, Graph Colorings with Local Restrictions , Ph.D

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.425409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.403140Z digest=sha256:af4697a307ef4ff3abcbb28d32b094bcee588622fc3bda622d6c246dc4841331

Observation 409a208f-72d5-4258-bdf4-bd26d357173e · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:56.414223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.406303Z digest=sha256:e4ae8703e3c8dcf9253a9224327cda8569f84207ea385e7d217caba8dd7eb6c2

Observation b6ae698c-fba9-4108-ac2d-c8f920f14d96 · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:56.404082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.409922Z digest=sha256:437b50e2470ba2a4ce4ee88498917b80a48a9d57254b7c8e709a1ed16898a607

Observation 5aba64de-6dad-4ec8-9541-4d972d76e430 · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:56.393756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.413451Z digest=sha256:f3d560199b2131f74ce1f58a5568df9ecb1c931fa75e68488c056d98ba41792e

Observation 7fb35d69-0731-4412-bd62-263d911b6819 · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:56.382312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.416950Z digest=sha256:73b3356d1b4955c391d9f45efe7e01f46e6f3561c4379424187d5a9c0d89ed73

Observation 506640b8-6f1d-4fe9-a8d5-f095079ca301 · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:56.373281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.420480Z digest=sha256:5f97a1cb923ef648297de553b8f90e38a4bea3185b1e32003de5c898bd6f3e40

Observation bccb9f85-494b-496a-b843-468703b9a2ee · outbound

This paper cites A new lower bound for sphere packing.

The hard-core model in graph theory A new lower bound for sphere packing

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-10T22:07:55.424340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:07:55.424340Z digest=sha256:3e8d4e59a3e854a7c43f35f38ea4446e017ec8b64e5a8db49b74ab0c04ae21a5

Observation b95a3102-b453-4f09-84c2-2bcd359f059d · outbound

This paper cites Campos, M.

The hard-core model in graph theory Campos, M

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.364790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.428410Z digest=sha256:79cd383be87bb4f9b2a75a796fcaa1f0189c33f7d8b07ec95d588997a5b697fc

Observation b374aeca-8ac9-412b-934a-9725aa29ee2b · outbound

This paper cites Caro, New Results on the Independence Number, Technical report, Tel-Aviv University, 1979.

The hard-core model in graph theory Caro, New Results on the Independence Number, Technical report, Tel-Aviv University, 1979

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.355832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.431843Z digest=sha256:53d76dfb1b198d506bd04ac6f1c3b01f2b36b2d08652774456aee1e09c2f5950

Observation 1ec0887a-d603-4bc4-bb78-df07e7614c80 · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:56.346016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.435229Z digest=sha256:5240973441b517a9cd49621496dc000cc0ac2a731d624a30eb926a93d23bd595

Observation 2d3203d0-b6a9-47cf-8bc5-d6dbb0d815ce · outbound

This paper cites Coja-Oghlan and C.

The hard-core model in graph theory Coja-Oghlan and C

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.335978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.438313Z digest=sha256:f9a0dfaa6a93661c50e29a12aa47a7bcefd6e72884ad1df5a116969f499ceab7

Observation 86584bbe-04c5-481a-a853-66bb857e41ec · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:56.326500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.441485Z digest=sha256:58c98adfe6c7272aecb0e78d3ad2470e163f5a6e64a03fa1b1121a3f97e16ce5

Observation 2ecfb505-2cf2-49dd-a9aa-2b48cd62b10e · outbound

This paper cites Davies, M.

The hard-core model in graph theory Davies, M

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.316522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.444470Z digest=sha256:5bff35f50a8b782ccef298d799607a636dec897a18e1f03ee64f335168050be3

Observation 25d5ec3b-e58e-406b-883b-f38811f7ebbf · outbound

This paper cites Davies, M.

The hard-core model in graph theory Davies, M

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.306249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.447779Z digest=sha256:4fbbfb6113f5ab666d3629c216d0c52ed4fafdc348e1c519a8e2ea704a0f9ffa

Observation 0fd2fd2f-7442-4acb-b947-3dd068d0cfc0 · outbound

This paper cites An algorithmic framework for colouring locally sparse graphs.

The hard-core model in graph theory An algorithmic framework for colouring locally sparse graphs

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-10T22:07:55.450744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:07:55.450744Z digest=sha256:8d7cc2fb5bfed015c80a1b02bde4faa442967502732acb00b9149d38ff083395

Observation d1242b1a-a0a4-47ca-8e14-7ae281258d58 · outbound

This paper cites Graph structure via local occupancy.

The hard-core model in graph theory Graph structure via local occupancy

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-10T22:07:55.454197Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:07:55.454197Z digest=sha256:9bb93dcb2022310a350f2fc40410f16da4e99210b7d8f9575c8ae6f0784e5610

Observation 323f7e34-4adb-49ef-9ff6-a7b118f99257 · outbound

This paper cites Davies, J.

The hard-core model in graph theory Davies, J

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-10T22:07:55.460930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:07:55.460930Z digest=sha256:5f305029dea2899938d2e2db8ede941b238bd1514c5045618ef7ec8b2e4bcb7c

Observation a135d8e7-6f0c-4fe6-9fc0-aee3aed393b9 · outbound

This paper cites Davies, R.

The hard-core model in graph theory Davies, R

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.296195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.463943Z digest=sha256:1dcf4c8c1247176264f37e2a5c77cfd529505b29f5992f8e2d53e1867c157cd1

Observation 96cdf6a9-7767-46c6-b458-7fa6644cc5b5 · outbound

This paper cites Davies, R.

The hard-core model in graph theory Davies, R

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.285923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.467324Z digest=sha256:99826c4fa527020bbb5d23d5edaed8a4cd26fc2b24b85cf6f6b355530c601f49

Observation 6a3f47b7-1a19-4458-9f6a-e9134dde3f85 · outbound

This paper cites Erd˝ os, Graph theory and probability II, Can.

The hard-core model in graph theory Erd˝ os, Graph theory and probability II, Can

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.276324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.470974Z digest=sha256:0fafacd75b1295a0ea0bd10da58ad09973b17ff9454795ed508eb4c19f960a5e

Observation c3cae104-b87f-40f5-943b-fdeb11790b86 · outbound

This paper cites Erd˝ os and L.

The hard-core model in graph theory Erd˝ os and L

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.267229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.474663Z digest=sha256:f029e09db35ffeaabdb9d72d2a550c15418826094ee935d5b502a62b88ea8183

Observation 4a44ab7e-81ae-41ff-876b-0625c643e98c · outbound

This paper cites Erd˝ os and T.

The hard-core model in graph theory Erd˝ os and T

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.255139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.478336Z digest=sha256:441104deb1291aa5b17a635049c0ba4dd6cde5a40c4217012e2095fa16e07b12

Observation ce35dac2-1a7f-4762-9df3-0cb20ea2ff2f · outbound

This paper cites Fiz Pontiveros, S.

The hard-core model in graph theory Fiz Pontiveros, S

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.244684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.481693Z digest=sha256:ae64bce20ff48114da39758e4951ef9054f0293664a69eff6db82e6038c5e7fc

Observation f978525b-3a57-4219-83cc-6bd9866bf3c7 · outbound

This paper cites Friedli and Y.

The hard-core model in graph theory Friedli and Y

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.233720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.485706Z digest=sha256:069fe69eaac1ae44e9ec65a2c0f013cd51cd095638a05bc2404f6f122243cd9c

Observation c9aefb30-4e1f-49ac-9ee2-6f78223c2687 · outbound

This paper cites Galvin and P.

The hard-core model in graph theory Galvin and P

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.223126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.489284Z digest=sha256:1a28798a2bdfeab65f8ec6bd2a9bc1a1d3739bc99f0f2652108a26332c12e36f

Observation f9e0f1b4-4264-4e61-8b36-c52d22ca95e5 · outbound

This paper cites Georgii, Gibbs Measures and Phase Transitions, 2nd edn., De Gruyter Studies in Mathematics, 2011.

The hard-core model in graph theory Georgii, Gibbs Measures and Phase Transitions, 2nd edn., De Gruyter Studies in Mathematics, 2011

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.213502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.492677Z digest=sha256:9a0b7b9be84606f65a6cab762f2192772ed3d0d505963e6cd9767dea1349be4f

Observation 33a40a4f-dc8b-42e1-8ab4-9f64c3e52de5 · outbound

This paper cites Grunbaum, Research problems: A problem in graph coloring, Amer.

The hard-core model in graph theory Grunbaum, Research problems: A problem in graph coloring, Amer

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.203337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.496309Z digest=sha256:908770ab17c3f6d8fcecf97b3804ad1d63164993a6109d578fb65dfbfe026188

Observation 051c3f02-1f8b-4e8b-9d4d-9d1633bede87 · outbound

This paper cites Hales, A proof of the Kepler conjecture, Ann.

The hard-core model in graph theory Hales, A proof of the Kepler conjecture, Ann

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.193172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.500173Z digest=sha256:6e4ecc52a1d7e3efe43e94eb2769f1a67a5bb8ea7ccaeff3983653436d4ce62f

Observation 481d180f-9749-4a3c-b4d7-ccb8c528ebf4 · outbound

This paper cites Hales, M.

The hard-core model in graph theory Hales, M

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.183700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.503707Z digest=sha256:6010a83163864551e024161709abf08f37c1b31838924e5b3b4193ab3fabd740

Observation dc3f6634-785d-4aa4-94f2-fbe42d88a201 · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:56.174811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.506929Z digest=sha256:70d80be6796abb102489ab94728487b283f1bd9f34d92f0e43b6c928cb6668c9

Observation 7ca9f7ac-fd4b-452b-9ba2-8b590511bf63 · outbound

This paper cites Hurley, R.

The hard-core model in graph theory Hurley, R

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.165750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.510428Z digest=sha256:349324591363ca337727c02292efcaad5104ccacb618f31298b8ae4796f892e9

Observation c98d452d-c4e8-402a-91a0-c0dbe48f4d25 · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:56.156666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.513878Z digest=sha256:7d4a99a0c14594558b95ef9bdf9c1175294fa5651969773609940c688e8006ea

Observation 56f584f8-5870-47e2-9b78-ff853a3242c1 · outbound

This paper cites Jenssen, F.

The hard-core model in graph theory Jenssen, F

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.146825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.517780Z digest=sha256:45fae089c369db97143442577dd599df4a13ed6c1bbf707de6ce2a4b181b0647

Observation 0cc2a27c-7735-4b8a-9a71-57209a4186ca · outbound

This paper cites Johansson, Asymptotic Choice Number for Triangle-Free Graphs, Technical report, DIMACS, 1996.

The hard-core model in graph theory Johansson, Asymptotic Choice Number for Triangle-Free Graphs, Technical report, DIMACS, 1996

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.137020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.521348Z digest=sha256:e2e0f8a8bcaaa42c301fcc7f2edc92f3066e4f0c85aace0053005813bb4ac95d

Observation c45ce2b2-993c-44eb-bacb-692328ab8375 · outbound

This paper cites Kahn, An entropy approach to the hard-core model on bipartite graphs, Combin.

The hard-core model in graph theory Kahn, An entropy approach to the hard-core model on bipartite graphs, Combin

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.126767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.524913Z digest=sha256:949067126b564eeaf172cb3c2c910a0c6143c8c2a2d4175946616fac2c91dce6

Observation cd78aae8-f42e-4f32-968a-fba89dc22ae9 · outbound

This paper cites Kahn, Entropy, independent sets and antichains: A new approach to Dedekind’s problem, Proc.

The hard-core model in graph theory Kahn, Entropy, independent sets and antichains: A new approach to Dedekind’s problem, Proc

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.116721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.528681Z digest=sha256:049c34079a3f506cd144c3fbf8c840adc52cb57e29c57267ecb9a392b0880c53

Observation 2f063b42-72a2-4630-8eb6-1d95161934b8 · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:56.105575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.531360Z digest=sha256:68622dc000c6e8f9e2cd2205dd1992b9202636f89d875cd53686871bf23fb32f

Observation d6977314-0501-487c-b229-fa0c084874b7 · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:56.095395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.534238Z digest=sha256:11e6d11838ae32b9c250fbbd86a6dcbb8671a43bed4a9ff24c86477d3b321e5c

Observation 1da547d4-7a68-4471-9305-50cfbc2829f4 · outbound

This paper cites Kepler, Strena Seu De Niue Sexangula , Gottfried Tampach, 1611, google-Books-ID: L3H73VJ P1EC.

The hard-core model in graph theory Kepler, Strena Seu De Niue Sexangula , Gottfried Tampach, 1611, google-Books-ID: L3H73VJ P1EC

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.086007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.537131Z digest=sha256:06664d272c6b49049a10baea6ff28d272b84a3a07fe644b87e8824b0fc843ef9

Observation 8f90da2d-e414-458a-9412-798b370dd0e5 · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:56.075852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.540567Z digest=sha256:9842a3fa1860ee5ea8fb7d46ed76b246d359ce37574bf1c67d29a2735182d71a

Observation ad340f61-5677-4af0-99e7-e5d690119b75 · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:56.065417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.543444Z digest=sha256:869cce10e5dc8eb6b304d838b55f083557274cde67d9c84171c42042b9e51c52

Observation 332c3527-e939-4816-bb12-bf8d4ff52d8f · outbound

This paper cites Klartag, Lattice packing of spheres in high dimensions using a stochastically evolving ellipsoid, 2025, arXiv:2504.05042 [math].

The hard-core model in graph theory Klartag, Lattice packing of spheres in high dimensions using a stochastically evolving ellipsoid, 2025, arXiv:2504.05042 [math]

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-10T22:07:55.546416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:07:55.546416Z digest=sha256:b8dfbded37c6ade1d15b3961772ac03dae6f7ad281bc2961c371444c89ed98b2

Observation b0d78e83-6d85-44a7-b2f2-e7d46b14bb1c · outbound

This paper cites Krivelevich, S.

The hard-core model in graph theory Krivelevich, S

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.055778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.549176Z digest=sha256:b693e8f4c46fe129d9efb78fe0f01bd8f6d1d5571e3712adba1891433d5449a8

Observation 6771a785-426f-4394-81a0-a7e458db7eaf · outbound

This paper cites Lubetzky and Y.

The hard-core model in graph theory Lubetzky and Y

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.045320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.554059Z digest=sha256:f9577f945e7231bbb8cdeb3676bc06bf78ed151214e42431ccf241c61e02cc81

Observation dad23980-d75b-40d4-a77f-71232465dd11 · outbound

This paper cites Molloy, The list chromatic number of graphs with small clique number, J.

The hard-core model in graph theory Molloy, The list chromatic number of graphs with small clique number, J

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.034816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.558068Z digest=sha256:8fcff5bfab7fbe0408cebcedb02c8079bd9206737050970c7a2cf75d388cce8a

Observation 2cb7d698-8f7e-42eb-9513-232c76230887 · outbound

This paper cites Molloy and B.

The hard-core model in graph theory Molloy and B

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:56.023868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.561621Z digest=sha256:aa3ba12274a0f49789941ca39d5810bb8b871458ac7c99f541066a5d4e282aba

Observation 6c0c6390-01d4-4e46-a2d7-8c52984a953f · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:56.012853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.565449Z digest=sha256:3065e4a4f9f666ad347dddd00df9433c925656742b55fb7d96985a7aed57d0dc

Observation 0f3f114a-a53a-4d58-90aa-f8cdaf332412 · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:56.002753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.569445Z digest=sha256:4e4a1b57efcaa6ac31ed17c81b746e3b33345ef75e7925d0cf6163f946e5d73d

Observation 608551dc-00cb-48ac-9c5d-47b425f075de · outbound

This paper cites Reed, ω, ∆, and χ, J.

The hard-core model in graph theory Reed, ω, ∆, and χ, J

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:55.991383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.573220Z digest=sha256:162ceada6aec1caa6698405cb5feb268aa09e97cd6cc891599395580142732f6

Observation 6f9f51f1-0cdb-4d01-94fe-607aa4de66df · outbound

This paper cites Reed and B.

The hard-core model in graph theory Reed and B

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:55.981314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.577316Z digest=sha256:0efcd7ff3afcc93dd282df7afa0259f4d8609d37bc9ee280c9c1832bd1cdee3c

Observation 7cdaa53f-483e-4732-80a8-326f0ab5db7b · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 67

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:55.971716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.581095Z digest=sha256:37d3f8919ac362fe3ce49e43b400f2095f0c14b67f094f109f23b4d6b3178104

Observation 5a201a6b-4aca-4835-ac70-6157bd1d15f0 · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 68

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:55.960912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.584812Z digest=sha256:9b49ef4133d62e1968705d6262f37f60c6d40e8d071951ba6ebd2dd593698fe5

Observation 61d63df1-04bf-4d0b-86a5-b741956815df · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 69

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:55.949391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.588760Z digest=sha256:84d5effbd20f4e60ee2d6658ba89d6989443d3e45925b23585d9addada62ee72

Observation 12075a85-0db6-4260-afa1-3fd06a7a7f11 · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 70

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:55.939089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.592532Z digest=sha256:214dde48ad48cdb7ced09eb7ee8775543a52fecbee068b414e7d034a0ccb5c12

Observation 8ad80e85-5d06-48aa-bc99-457449081378 · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 71

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:55.928770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.596150Z digest=sha256:e88f3f29da3d3ee7c8216296ab69e92282a11f80c85c1e5c16033004c56d1117

Observation 49b68a43-9af5-4fd3-a277-87ca8046008e · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 72

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:55.917922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.600215Z digest=sha256:a5a9f27d465c45f52c9297a029b092d204c2840cf5d5e370d35e59554be46a3e

Observation 68578794-0a8b-4266-91f0-8a5fad048f84 · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 73

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:55.906681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.603957Z digest=sha256:a2d7012cf7b9640ef4f88aa4463c8326c5f2c153b80c485c1fff44b0411cc5b7

Observation 32a64cfa-0d7f-43df-a48b-884306fe7d52 · outbound

This paper cites Spencer, Asymptotic lower bounds for Ramsey functions, Discrete Math.

The hard-core model in graph theory Spencer, Asymptotic lower bounds for Ramsey functions, Discrete Math

Reference 74

Resolution
unresolved
no resolver link, observed 2026-08-10T22:07:55.607318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:07:55.607318Z digest=sha256:218a19600b7acffbc204c231d5c029d9704ac9fad57064e8fb45601d2ffbc912

Observation 48a9d08c-f811-40a2-a608-288418f0ddec · outbound

This paper cites Viazovska, The sphere packing problem in dimension 8, Ann.

The hard-core model in graph theory Viazovska, The sphere packing problem in dimension 8, Ann

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:55.887644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.610868Z digest=sha256:3b4dfd030c4f15e6fa7cd1b2f20a38315bb380dbd2502ed0ae00148edac5e275

Observation 97e9b9b4-4cbb-40f8-8b8e-36db1f5da819 · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 76

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:55.877253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.614699Z digest=sha256:6f49b77fc95ba2e387f0db2e8fb1ed40b591bf5310af8550dde37ee0f6b3b768

Observation d912f80e-517b-42b3-8a9e-83e14f25a85d · outbound

This paper cites an unresolved cited work.

The hard-core model in graph theory Unresolved cited work

Reference 77

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:07:55.867053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.617754Z digest=sha256:e48dca1dab97aaaf7990f533f9a55eb6e871b78e05bcf30c186c7fd7027ab5ec

Observation 3ca03c2d-4c2a-410e-a1a2-5730448cb5e4 · outbound

This paper cites Zhao, The number of independent sets in a regular graph, Combin.

The hard-core model in graph theory Zhao, The number of independent sets in a regular graph, Combin

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:55.855671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.620883Z digest=sha256:bc64f9222fc337bcb7be951f47857fe0cc565e674a788fdb35654c1130d6978d

Observation 00b167f4-2784-4e93-92a4-c689fe01f595 · outbound

This paper cites Zhao, Extremal regular graphs: Independent sets and graph homomorphisms, Amer.

The hard-core model in graph theory Zhao, Extremal regular graphs: Independent sets and graph homomorphisms, Amer

Reference 79

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:07:55.844157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:07:55.623790Z digest=sha256:9fb76718086abdc131bff210c5b6d0dafe33c24da529e1a2943768fd1285a21e

Pith citing papers

Observation d3d56832-3736-4667-8008-c750859ab9aa · inbound

Triangle-free $d$-degenerate graphs have small fractional chromatic number cites this paper.

Triangle-free $d$-degenerate graphs have small fractional chromatic number The hard-core model in graph theory

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-10T00:24:26.395251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:24:26.395251Z digest=sha256:f510527cfc00bcd38009972d036eb1b522348950b9bc296c581ec4b8ac7cddec

Observation ae640983-4b6a-4a04-94db-66b2f48995a0 · inbound

Independent Sets and Continued Fractions cites this paper.

Independent Sets and Continued Fractions The hard-core model in graph theory

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-10T02:53:29.697447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-10T02:50:26.211092Z digest=sha256:6b56f75c528dfee657a0bd9afd9fc28e1a6b629c1ae754748b4c2d3d7135d291

Observation cf2e13de-c994-459a-9e44-66e56dd2f94f · inbound

Degree-sequence bounds for independent sets via multivariate local occupancy cites this paper.

Degree-sequence bounds for independent sets via multivariate local occupancy The hard-core model in graph theory

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-08T20:19:08.382661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-08T16:23:56.274462Z digest=sha256:11433a9069cb96feaf4c39962873da1de4bc1ec15808ba6ef880d7fa5a4be00d