Paper Citation Record · LEDGER

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy

As of 8 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 1 inbound Pith citation observation for arXiv:2506.08648.

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

pith.paper-citation-record.v1
2506.08648 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:12:57.001139Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T17:42:05.777100Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T17:21:07.410220Z

Reference resolution

43 of 43 outbound references displayed

verified exact0
verified fuzzy21
unresolved20
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b1858636-1e5c-4864-bdf1-6f3fdb0f74e2 · outbound

This paper cites Ahierarchyofsubgraphprojection-basedsemidef- inite relaxations for some NP-hard graph optimization problems.INFOR: Information Systems and Operational Research, 53(1):40–48, 2015.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Ahierarchyofsubgraphprojection-basedsemidef- inite relaxations for some NP-hard graph optimization problems.INFOR: Information Systems and Operational Research, 53(1):40–48, 2015

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.479243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8017fac6-0484-4ea8-8aed-f9839e537165 · outbound

This paper cites Alizadeh.Combinatorial optimization with interior point methods and semidefinite matrices.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Alizadeh.Combinatorial optimization with interior point methods and semidefinite matrices

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.467553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3d7725f7-ca80-440b-8f77-a15b8a6a2603 · outbound

This paper cites an unresolved cited work.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:12:57.456055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8e4cfc3e-2c7e-44f2-bcfa-9ae5afdf89ac · outbound

This paper cites Balas and J.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Balas and J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.445414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c7e0b821-8cb6-4cbc-92af-2d1f6381a6b5 · outbound

This paper cites an unresolved cited work.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T05:12:56.857293Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8309cb0c-763b-41e8-ae5a-800d596eb6fd · outbound

This paper cites Houseofgraphs: adatabaseofinteresting graphs.Discrete Applied Mathematics, 161(1-2):311–314, 2013.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Houseofgraphs: adatabaseofinteresting graphs.Discrete Applied Mathematics, 161(1-2):311–314, 2013

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.428217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 655c2035-e3cb-42f4-bcef-715b4ae1364e · outbound

This paper cites an unresolved cited work.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:12:57.417384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 49e9a55a-a461-4595-8b9c-f390b54346bd · outbound

This paper cites Chen, J.-B.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Chen, J.-B

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.407607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ca55729c-9a29-4982-a230-25192768de7b · outbound

This paper cites de Klerk.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy de Klerk

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.397839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0a46af7d-61e3-45fd-8d86-a4fef364ee86 · outbound

This paper cites Dukanovic and F.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Dukanovic and F

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.387987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fca525b4-36e8-444e-99f6-da4e4db5fb7d · outbound

This paper cites Fortin and R.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Fortin and R

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.377255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9f1d5f7f-fb09-4050-986e-c5d55c339fe4 · outbound

This paper cites an unresolved cited work.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:12:57.367547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 296d58f5-be43-49e3-8ccb-0fb2740bdbc8 · outbound

This paper cites Gaar and F.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Gaar and F

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.357512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 180040ff-6f1c-491b-9601-b2267530c136 · outbound

This paper cites an unresolved cited work.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:12:57.346811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 059a6c30-6f22-4c73-99f6-36b079838649 · outbound

This paper cites Gouveia, P.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Gouveia, P

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.335916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6e893a73-325a-40c9-802b-67c333a9482e · outbound

This paper cites Gruber and F.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Gruber and F

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.325626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ca8440ad-daad-4a09-a1aa-d5868aa41023 · outbound

This paper cites an unresolved cited work.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:12:57.314458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9e2e08fe-c68f-4777-be70-5f40249ff0f6 · outbound

This paper cites an unresolved cited work.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:12:57.304424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3b19ddcd-951b-4ce5-bcab-3b5349ae9cb3 · outbound

This paper cites an unresolved cited work.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:12:57.294138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 70ae1acf-f4c5-446a-b032-ec7a13641707 · outbound

This paper cites an unresolved cited work.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:12:57.284322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7e38210f-8414-49cd-a6d0-5b5740008743 · outbound

This paper cites an unresolved cited work.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:12:57.274880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7290c331-8347-46f3-a3e5-cf47b264ee44 · outbound

This paper cites an unresolved cited work.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:12:57.264561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0b630074-b39e-4875-92cf-01033f25b82f · outbound

This paper cites an unresolved cited work.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:12:57.254276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cb547be4-f9c0-4d3b-93d4-fe393a36c6b2 · outbound

This paper cites an unresolved cited work.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:12:57.244292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bcb53b51-9a86-4292-8a47-fed741241b0d · outbound

This paper cites an unresolved cited work.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:12:57.234279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ff63bf62-b42e-457d-9555-9a172616ae4b · outbound

This paper cites an unresolved cited work.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:12:57.224338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 373f7857-93f7-416e-ba66-092ba9fd09d7 · outbound

This paper cites Lovász and A.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Lovász and A

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.214053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2cca048c-38c5-4270-8ec6-47812460090d · outbound

This paper cites Madani, A.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Madani, A

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.203680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 21dbd462-82f6-4ce4-8772-48307e733b6a · outbound

This paper cites an unresolved cited work.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:12:57.193635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0a0cfeaf-6d73-4414-8fc4-26257f7ab5b1 · outbound

This paper cites Version 10.1., 2024.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Version 10.1., 2024

Reference 30

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T05:12:57.183067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0aaa2005-d708-4b5d-a4f4-91626f9954ba · outbound

This paper cites Nesterov and A.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Nesterov and A

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.173226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f01db7d6-e827-4234-bf75-2b7b34d27f37 · outbound

This paper cites an unresolved cited work.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:12:57.163059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 004e933a-75ef-47a5-84d3-63cfc478cd9d · outbound

This paper cites an unresolved cited work.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:12:57.151379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2e2293a8-2b7d-4486-993f-63e2c35d335b · outbound

This paper cites Practical Experience with Stable Set and Coloring Relaxations.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Practical Experience with Stable Set and Coloring Relaxations

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T05:12:56.967383Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d7b7007-0c83-413e-aa0c-6260abc25ebf · outbound

This paper cites Raghavendra and B.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Raghavendra and B

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.139437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d6bf937b-1d1e-4ce4-824a-2d6634220bc8 · outbound

This paper cites Rontsis, P.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Rontsis, P

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.127876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9be370c9-fdb5-424d-a8d9-6bafd2611eca · outbound

This paper cites Schrijver.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Schrijver

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.117195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d90f0209-e71e-41c1-a966-53b39570fdb5 · outbound

This paper cites an unresolved cited work.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:12:57.105972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b4976500-ed5c-40fd-9ddb-0cc3c90a57aa · outbound

This paper cites Silvestri.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Silvestri

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.094267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d0d70961-654f-4417-841a-1378f644918e · outbound

This paper cites Sinjorgo and R.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Sinjorgo and R

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.082918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9e01c693-3b76-410a-9b88-d78a1b3a8518 · outbound

This paper cites Szabó and B.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy Szabó and B

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.071882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e9f8ce60-30a5-410c-9d23-2378b73a77f6 · outbound

This paper cites https://www.sagemath.org.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy https://www.sagemath.org

Reference 42

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T05:12:57.058902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5b2fe751-575b-4292-9256-a3b38b16d3f3 · outbound

This paper cites van Maaren, L.

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy van Maaren, L

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:57.045795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

Observation 8227bc49-7f90-4bba-801c-658284e612d2 · inbound

Improved semidefinite programming bounds for the maximum $k$-colorable subgraph problem cites this paper.

Improved semidefinite programming bounds for the maximum $k$-colorable subgraph problem SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy

Reference 54

Resolution: verified exact; arxiv_id, observed 2026-05-11T17:21:07.412719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.