Paper Citation Record · LEDGER

Robust Hamiltonicity in families of Dirac graphs

As of 7 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 2 inbound Pith citation observations for arXiv:2309.12607.

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

pith.paper-citation-record.v1
2309.12607 v3

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T07:07:03.211243Z

measured 55 of 55 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:03:01.799895Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-23T16:35:42.450311Z

Reference resolution

53 of 53 outbound references displayed

verified exact11
verified fuzzy42
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External citation measurements

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Outbound references

Observation 289365a5-622a-4422-a1da-71b7080f6573 · outbound

This paper cites A rainbow version of Mantel’s theorem.

Robust Hamiltonicity in families of Dirac graphs A rainbow version of Mantel’s theorem

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.232646Z

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Observation 9d96808d-e159-43ef-bcc5-7e15cd45210a · outbound

This paper cites A rainbow r-partite version of the Erd˝ os-Ko-Rado theorem.

Robust Hamiltonicity in families of Dirac graphs A rainbow r-partite version of the Erd˝ os-Ko-Rado theorem

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.228679Z

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Observation 39c3bae7-6fd4-458c-ae01-2bb1168ee768 · outbound

This paper cites Increasing the chromatic number of a random graph.

Robust Hamiltonicity in families of Dirac graphs Increasing the chromatic number of a random graph

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.221491Z

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Observation 61057a27-03d7-4164-a2d6-600128e9acda · outbound

This paper cites Robust Hamiltonicity of Dirac hypergraphs.

Robust Hamiltonicity in families of Dirac graphs Robust Hamiltonicity of Dirac hypergraphs

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.213337Z

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Observation bd597104-b537-4f86-81db-c8eccc5abed4 · outbound

This paper cites Local resilience of almost spanning trees in random graphs.

Robust Hamiltonicity in families of Dirac graphs Local resilience of almost spanning trees in random graphs

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.209547Z

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Observation f17017c3-e707-47da-acc0-1691673e77c8 · outbound

This paper cites On the resilience of Hamiltonicity and optimal packing of Hamilton cycles in random graphs.

Robust Hamiltonicity in families of Dirac graphs On the resilience of Hamiltonicity and optimal packing of Hamilton cycles in random graphs

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.200964Z

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Observation 8fa02e66-1145-4c28-bacc-350d2fb24d98 · outbound

This paper cites The evolution of sparse graphs.

Robust Hamiltonicity in families of Dirac graphs The evolution of sparse graphs

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.194033Z

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Observation f06bdb7e-267c-4f94-8ff2-2d250ca2ef4b · outbound

This paper cites From one to many rainbow Hamiltonian cycles.

Robust Hamiltonicity in families of Dirac graphs From one to many rainbow Hamiltonian cycles

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.186966Z

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Observation 5f5d7774-b2ef-4f93-8370-61094741e037 · outbound

This paper cites A bandwidth theorem for graph transversals.

Robust Hamiltonicity in families of Dirac graphs A bandwidth theorem for graph transversals

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-24T07:09:05.288039Z

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Observation c8bde880-597b-437d-9e31-ae44dd4eb8ad · outbound

This paper cites Rainbow Pancyclicity in Graph Systems.

Robust Hamiltonicity in families of Dirac graphs Rainbow Pancyclicity in Graph Systems

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.264894Z

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Observation 05318cbb-0a14-4939-ab58-2a5ccbbb9c5f · outbound

This paper cites A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations.

Robust Hamiltonicity in families of Dirac graphs A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.216993Z

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Observation e45b45fd-7dfe-4544-b6b9-1c18f5ca1a18 · outbound

This paper cites Proof of the 1-factorization and Hamilton decomposition conjectures.

Robust Hamiltonicity in families of Dirac graphs Proof of the 1-factorization and Hamilton decomposition conjectures

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.245725Z

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Observation b62ed14c-cf13-4d97-b500-9d2721b3b5bd · outbound

This paper cites Hamiltonian cycles in Dirac graphs.

Robust Hamiltonicity in families of Dirac graphs Hamiltonian cycles in Dirac graphs

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.240917Z

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Observation e62ecd6e-d758-4d6f-a39e-3c459afd3e21 · outbound

This paper cites On the resilience of long cycles in random graphs.

Robust Hamiltonicity in families of Dirac graphs On the resilience of long cycles in random graphs

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.237368Z

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Observation 2662b4c6-d32c-4dbf-8efe-26b520760d4a · outbound

This paper cites Some theorems on abstract graphs.

Robust Hamiltonicity in families of Dirac graphs Some theorems on abstract graphs

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.204845Z

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Observation 31ca0dda-db26-4d36-afaa-125f69707636 · outbound

This paper cites Dirac-type Problem of Rainbow matchings and Hamilton cycles in Random Graphs.

Robust Hamiltonicity in families of Dirac graphs Dirac-type Problem of Rainbow matchings and Hamilton cycles in Random Graphs

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-24T07:09:05.273483Z

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Observation 4dd016c7-6671-4d09-b433-c7a18e31338b · outbound

This paper cites Thresholds versus fractional expectation-thresholds.

Robust Hamiltonicity in families of Dirac graphs Thresholds versus fractional expectation-thresholds

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.251474Z

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Observation 9f197f9f-0bab-4f0f-a758-9a2dc2f51051 · outbound

This paper cites Hamilton Cycles in Random Graphs: a bibliography.

Robust Hamiltonicity in families of Dirac graphs Hamilton Cycles in Random Graphs: a bibliography

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-07-07T02:17:01.411070Z

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Observation 079a686f-3f76-42eb-a28a-104c8bb76df0 · outbound

This paper cites A general approach to transversal versions of Dirac-type theorems.

Robust Hamiltonicity in families of Dirac graphs A general approach to transversal versions of Dirac-type theorems

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-05-24T07:09:05.279047Z

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Observation 1edb31cf-5e87-4973-996b-23fd11b35a56 · outbound

This paper cites Optimal thresholds for Latin squares, Steiner Triple Systems, and edge colorings.

Robust Hamiltonicity in families of Dirac graphs Optimal thresholds for Latin squares, Steiner Triple Systems, and edge colorings

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-24T07:09:05.299434Z

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Observation 7e590b03-b0c5-4840-8be6-d8755d928222 · outbound

This paper cites On Hamilton cycles in Erd˝ os-R´ enyi subgraphs of large graphs.

Robust Hamiltonicity in families of Dirac graphs On Hamilton cycles in Erd˝ os-R´ enyi subgraphs of large graphs

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.255865Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation cf42e838-c88b-42e4-9d42-1da68117f6d0 · outbound

This paper cites On a rainbow version of Dirac’s theorem.

Robust Hamiltonicity in families of Dirac graphs On a rainbow version of Dirac’s theorem

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.260383Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 3b7582aa-0687-4252-95bc-9775953d3b53 · outbound

This paper cites Thresholds and expectation thresholds.

Robust Hamiltonicity in families of Dirac graphs Thresholds and expectation thresholds

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.182574Z

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Observation c0eddf56-572e-41ff-865a-25a77d458986 · outbound

This paper cites A topological colorful Helly theorem.

Robust Hamiltonicity in families of Dirac graphs A topological colorful Helly theorem

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.177903Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 44619727-6052-473f-885d-f99437d47e75 · outbound

This paper cites Thresholds for Latin squares and Steiner triple systems: Bounds within a logarithmic factor.

Robust Hamiltonicity in families of Dirac graphs Thresholds for Latin squares and Steiner triple systems: Bounds within a logarithmic factor

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.174466Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation c323fc39-0063-4f1c-b41b-199d1a276602 · outbound

This paper cites Perfect matchings in random sparsifications of Dirac hypergraphs.

Robust Hamiltonicity in families of Dirac graphs Perfect matchings in random sparsifications of Dirac hypergraphs

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-05-24T07:09:05.284130Z

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Observation b3d5f50f-5889-4709-9960-0f9ba9cf4018 · outbound

This paper cites Reducibility among combinatorial problems.

Robust Hamiltonicity in families of Dirac graphs Reducibility among combinatorial problems

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.170779Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 63f2e103-8a94-4052-bd18-171f8feffb68 · outbound

This paper cites The optimal edge-colouring threshold.

Robust Hamiltonicity in families of Dirac graphs The optimal edge-colouring threshold

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-05-24T07:09:05.313448Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 14fee075-6ab0-41bb-913a-c237675b5a17 · outbound

This paper cites Optimal spread for spanning subgraphs of Dirac hypergraphs.

Robust Hamiltonicity in families of Dirac graphs Optimal spread for spanning subgraphs of Dirac hypergraphs

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-05-24T07:09:05.303649Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 20b0af41-43b6-44fd-8e41-69d7b3f48e7d · outbound

This paper cites Edge-disjoint Hamilton cycles in random graphs.

Robust Hamiltonicity in families of Dirac graphs Edge-disjoint Hamilton cycles in random graphs

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.335358Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation fcb82bbc-0583-4a87-9ffc-dc7c354a076d · outbound

This paper cites Proof of the Seymour conjecture for large graphs.

Robust Hamiltonicity in families of Dirac graphs Proof of the Seymour conjecture for large graphs

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.338774Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 483a0b6c-6100-419d-a510-c673f0fe9e8c · outbound

This paper cites Limit distribution for the existence of Hamiltonian cycles in a random graph.

Robust Hamiltonicity in families of Dirac graphs Limit distribution for the existence of Hamiltonian cycles in a random graph

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.322288Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 2205219a-43da-42ea-8e9d-080ff9371109 · outbound

This paper cites Solution of a problem of Erd˝ os and Renyi on Hamiltonian cycles in nonoriented graphs.

Robust Hamiltonicity in families of Dirac graphs Solution of a problem of Erd˝ os and Renyi on Hamiltonian cycles in nonoriented graphs

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.328771Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 61decf1b-6d5e-4661-a006-c743811cad43 · outbound

This paper cites Resilient pancyclicity of random and pseudorandom graphs.

Robust Hamiltonicity in families of Dirac graphs Resilient pancyclicity of random and pseudorandom graphs

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.318960Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 2a64798b-68e3-4c1f-bdc1-9ff4d5a9373f · outbound

This paper cites Robust Hamiltonicity of Dirac graphs.

Robust Hamiltonicity in families of Dirac graphs Robust Hamiltonicity of Dirac graphs

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.311673Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation eec9f2d2-1651-411a-af7a-eea74da9d2ef · outbound

This paper cites Hamilton decompositions of regular expanders: a proof of Kelly’s conjecture for large tournaments.

Robust Hamiltonicity in families of Dirac graphs Hamilton decompositions of regular expanders: a proof of Kelly’s conjecture for large tournaments

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.315291Z

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Observation 9a297b28-d90a-4c1f-9197-11eee88ce6f8 · outbound

This paper cites Dirac’s theorem for random graphs.

Robust Hamiltonicity in families of Dirac graphs Dirac’s theorem for random graphs

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.325147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 0d94aed3-58e3-4bd4-b0d1-5c978cd4d06f · outbound

This paper cites Probability and computing: Randomization and probabilistic tech- niques in algorithms and data analysis.

Robust Hamiltonicity in families of Dirac graphs Probability and computing: Randomization and probabilistic tech- niques in algorithms and data analysis

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.341589Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation b4015b62-5167-480e-9b9f-547cd18f8a2c · outbound

This paper cites Hamiltonicity in random graphs is born resilient.

Robust Hamiltonicity in families of Dirac graphs Hamiltonicity in random graphs is born resilient

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.300177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 616d3727-acaf-4e2e-be1e-a7015c7a92bc · outbound

This paper cites Hamiltonicity in random directed graphs is born resilient.

Robust Hamiltonicity in families of Dirac graphs Hamiltonicity in random directed graphs is born resilient

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.308102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 2be74bdb-eb2a-4a01-87b9-132b37bad157 · outbound

This paper cites Transversal factors and spanning trees.

Robust Hamiltonicity in families of Dirac graphs Transversal factors and spanning trees

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.296817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 5e2d14fe-6eba-439f-b935-62829c81d36c · outbound

This paper cites Counting spanning subgraphs in dense hypergraphs.

Robust Hamiltonicity in families of Dirac graphs Counting spanning subgraphs in dense hypergraphs

Reference 42

Resolution: verified exact; arxiv_id, observed 2026-05-24T07:09:05.268843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation bae5d132-ad59-4e9d-8a6a-58fd6e5df4dc · outbound

This paper cites Hamiltonian lines in graphs whose vertices have sufficiently large valen- cies.

Robust Hamiltonicity in families of Dirac graphs Hamiltonian lines in graphs whose vertices have sufficiently large valen- cies

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.303226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 4bcfd604-a713-4aeb-b5ab-0443df65c6be · outbound

This paper cites A proof of the Kahn–Kalai Conjecture.

Robust Hamiltonicity in families of Dirac graphs A proof of the Kahn–Kalai Conjecture

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.290091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 09329c0d-418b-4aa5-a537-e4bc92944793 · outbound

This paper cites A Toolkit for Robust Thresholds.

Robust Hamiltonicity in families of Dirac graphs A Toolkit for Robust Thresholds

Reference 45

Resolution: verified exact; arxiv_id, observed 2026-05-24T07:09:05.295246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 55614141-8b78-4b18-b6b3-4e19829855f1 · outbound

This paper cites Rota's Basis Conjecture holds asymptotically.

Robust Hamiltonicity in families of Dirac graphs Rota's Basis Conjecture holds asymptotically

Reference 46

Resolution: verified exact; arxiv_id, observed 2026-05-24T07:09:05.291624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation a65de333-1157-4cb5-9384-04d8a818dd78 · outbound

This paper cites Hamiltonian circuits in random graphs.

Robust Hamiltonicity in families of Dirac graphs Hamiltonian circuits in random graphs

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.282517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation e36b66e9-bae9-4167-b15a-ce9e4e0028ba · outbound

This paper cites Threshold for Steiner triple systems.

Robust Hamiltonicity in families of Dirac graphs Threshold for Steiner triple systems

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.286643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 8fb421c1-b928-440a-b482-cc57cbd786c9 · outbound

This paper cites Distributing vertices along a Hamiltonian cycle in Dirac graphs.

Robust Hamiltonicity in families of Dirac graphs Distributing vertices along a Hamiltonian cycle in Dirac graphs

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.293542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 995d7daf-01c2-4c9d-a2d0-b6680ecff0ec · outbound

This paper cites On the number of Hamiltonian cycles in Dirac graphs.

Robust Hamiltonicity in families of Dirac graphs On the number of Hamiltonian cycles in Dirac graphs

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.332027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation b47da19c-0a18-4fdc-b406-7e0434316a1b · outbound

This paper cites Local resilience of an almost spanning k-cycle in random graphs.

Robust Hamiltonicity in families of Dirac graphs Local resilience of an almost spanning k-cycle in random graphs

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.273561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 0a71101a-1033-4e12-b831-d56e42f29d7e · outbound

This paper cites Robustness of graph properties.

Robust Hamiltonicity in families of Dirac graphs Robustness of graph properties

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.278715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation a917f586-c880-4972-a27e-c947060a0afe · outbound

This paper cites Local resilience of graphs.

Robust Hamiltonicity in families of Dirac graphs Local resilience of graphs

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T07:09:06.268881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Pith citing papers

Observation 24c5aa56-db69-408f-aa6b-dccedcd05392 · inbound

Transversal Structures in Graph Systems: A Survey cites this paper.

Transversal Structures in Graph Systems: A Survey Robust Hamiltonicity in families of Dirac graphs

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-05-23T16:35:42.458169Z

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Observation fbfbcf3c-8aae-411a-b0f0-6edfc0f311db · inbound

Transversal packings in families of percolated hypergraphs cites this paper.

Transversal packings in families of percolated hypergraphs Robust Hamiltonicity in families of Dirac graphs

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T17:03:01.799895Z

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