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Paper Citation Record · LEDGER

Two infinite families of counterexamples to the Stanley--Gasharov conjecture

As of 14 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2607.27166.

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

pith.paper-citation-record.v1
2607.27166 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T01:53:14.728615Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

22 of 22 outbound references displayed

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External citation measurements

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Outbound references

Observation a58532e1-f469-44b9-97a3-31e8304cf13f · outbound

This paper cites Beineke,Characterizations of derived graphs, J.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Beineke,Characterizations of derived graphs, J

Reference 1

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:53:13.040889Z digest=sha256:51abae6ee424f3e5031372f7c4aa14a97b7c2976d4cd321d4d5d294269b4dd9a

Observation 865aed39-3662-432b-accb-d0c00db37fc2 · outbound

This paper cites Chudnovsky and P.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Chudnovsky and P

Reference 2

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source=pdf_text observed=2026-08-03T01:53:13.138154Z digest=sha256:742b01d4c04471f021a1489300a0b41f9e54f5e9b953cb90fd6bb13f0c1d157d

Observation cb7e8e65-a66f-4dc5-9ec7-f437ac9ebf70 · outbound

This paper cites Gasharov,Incomparability graphs of(3 + 1)-free posets are s-positive, Discrete Math.157 (1996), no.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Gasharov,Incomparability graphs of(3 + 1)-free posets are s-positive, Discrete Math.157 (1996), no

Reference 3

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source=pdf_text observed=2026-08-03T01:53:13.208546Z digest=sha256:52d6ae3b4cc6ed6eba42832a81c80220ea3c588b676da51f8e0d3912c91ac741

Observation e27f016c-941d-4acf-b070-dfd853db8861 · outbound

This paper cites Gasharov,On Stanley’s chromatic symmetric function and clawfree graphs, Discrete Math.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Gasharov,On Stanley’s chromatic symmetric function and clawfree graphs, Discrete Math

Reference 4

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source=pdf_text observed=2026-08-03T01:53:13.330395Z digest=sha256:c12b372cf980d3ae94e374439677b5102afa6305920da9d345b077116779f8cc

Observation 95f1cd63-aaa2-4e7b-a06e-79db30f56f33 · outbound

This paper cites Gebhard and B.E.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Gebhard and B.E

Reference 5

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source=pdf_text observed=2026-08-03T01:53:13.456269Z digest=sha256:acabacf060c7be6be348b9a8f9c454a1895777e7ee451b43ffc979589a17a0e6

Observation 43be97dd-773c-4c64-b509-fd75dc9fdef7 · outbound

This paper cites Hikita,On the Stanley–Stembridge conjecture, S´ eminaire Lotharingien de Combinatoire93B (2025), Article 31, 12 pp.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Hikita,On the Stanley–Stembridge conjecture, S´ eminaire Lotharingien de Combinatoire93B (2025), Article 31, 12 pp

Reference 6

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source=pdf_text observed=2026-08-03T01:53:13.545999Z digest=sha256:0f189923703d84ee63c84473b413a4a7923aa5b7aff5b9bfaf74d1bb7e581959

Observation 9ede5845-3dd5-417c-a4fb-ff57dce542ee · outbound

This paper cites Macdonald,Symmetric Functions and Hall Polynomials, 2nd ed., Oxford University Press, New York, 1995.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Macdonald,Symmetric Functions and Hall Polynomials, 2nd ed., Oxford University Press, New York, 1995

Reference 7

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source=pdf_text observed=2026-08-03T01:53:13.659225Z digest=sha256:6aa2cf9f4a9adea732849f7eff2010fa01a6d600364f1af41a6d7191076aed7a

Observation 30714b8e-1249-42ca-8935-d9cbf07a3431 · outbound

This paper cites Chromatic symmetric functions of claw-free graphs are not Schur positive.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Chromatic symmetric functions of claw-free graphs are not Schur positive

Reference 8

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source=pdf_text observed=2026-08-03T01:53:13.778404Z digest=sha256:ce081b93fa7cbfeb9f9f1053a38120a0202ec160396a28c3d01e099f55bf0980

Observation 544f9e66-50bb-433e-8e62-55da48876c1f · outbound

This paper cites McKay and A.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture McKay and A

Reference 9

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source=pdf_text observed=2026-08-03T01:53:13.856842Z digest=sha256:cae3feea419848896af5c7a3b843f14b88cfe067fb8629ebc9cfb560317014a7

Observation 57031821-1335-46fd-8f63-9d672df98109 · outbound

This paper cites Pawlowski,Chromatic symmetric functions via the group algebra of Sn, Algebr.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Pawlowski,Chromatic symmetric functions via the group algebra of Sn, Algebr

Reference 10

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source=pdf_text observed=2026-08-03T01:53:13.942986Z digest=sha256:242336d3554ed1e8458e1fa3c66a2c7b22fc9b128b3c786486437b9a0f4e79fa

Observation 3b524dfc-528c-453c-adb4-c7b465d1f577 · outbound

This paper cites A counterexample to the claw-free Schur-positivity conjecture.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture A counterexample to the claw-free Schur-positivity conjecture

Reference 11

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source=pdf_text observed=2026-08-03T01:53:14.058444Z digest=sha256:13b862e0bd03a64e02b12906c69fb2ba7ac03961beb11ca841181c0625d75a50

Observation db74af38-dfe7-4917-b6c2-0c82a525220f · outbound

This paper cites Qi, D.Q.B.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Qi, D.Q.B

Reference 12

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source=pdf_text observed=2026-08-03T01:53:14.161072Z digest=sha256:c12daf512799b68e36d658ee855467f9403233585c05dc1d4c11eb0e049047e9

Observation d2c98c24-2353-47e5-8934-dbaf0f2f2ca9 · outbound

This paper cites Shareshian and M.L.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Shareshian and M.L

Reference 13

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source=pdf_text observed=2026-08-03T01:53:14.224381Z digest=sha256:8c4e12ab15067f94e0a2471896c5f61329cf18521423d33aeeb78d5bab7081f1

Observation 0907b1b3-b07b-4428-9c57-60ce7a3e7286 · outbound

This paper cites Shelburne and S.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Shelburne and S

Reference 14

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source=pdf_text observed=2026-08-03T01:53:14.272293Z digest=sha256:77de9b945275f04d41f754ce478a25f02117d3bdba0d9b9b3072baf19d59c44f

Observation f197cdd7-8695-4ab3-a76c-8c6c1d830b89 · outbound

This paper cites A Schur-positivity classification for complete multipartite graphs.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture A Schur-positivity classification for complete multipartite graphs

Reference 15

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source=pdf_text observed=2026-08-03T01:53:14.329697Z digest=sha256:280d2ae3e9a6f33e8ca10e6a1abcbecc6d2a37f36279e018dfdb6ed8b7812550

Observation 97a9f8cf-4424-4bb9-861c-e4a6e82a3c86 · outbound

This paper cites Stanley,Review: I.G.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Stanley,Review: I.G

Reference 16

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source=pdf_text observed=2026-08-03T01:53:14.384627Z digest=sha256:fc12f0a5247866b3033991849a7c09901cc87a9462bb44ed90f1e69f92a8036d

Observation 145b25a6-29c1-4b59-9b21-6924266c50d9 · outbound

This paper cites Stanley,A symmetric function generalization of the chromatic polynomial of a graph, Adv.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Stanley,A symmetric function generalization of the chromatic polynomial of a graph, Adv

Reference 17

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source=pdf_text observed=2026-08-03T01:53:14.443161Z digest=sha256:7eecfd0eb7b3a0a8ae01d60d9369f2cafff776789f1f371b1330b987f4bfb0ad

Observation fb26a2ce-d2d6-4f21-b8ed-4ebe1ed8b54c · outbound

This paper cites an unresolved cited work.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-03T01:53:14.504150Z digest=sha256:1fc3c2533642f2e8bd2c6f5d9669fac32c646c50e186126bcc0333055b1ae466

Observation 602884be-8559-487b-8bce-010a7c93108a · outbound

This paper cites Stanley,Enumerative Combinatorics, volume 2, Cambridge University Press, Cambridge, 1999.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Stanley,Enumerative Combinatorics, volume 2, Cambridge University Press, Cambridge, 1999

Reference 19

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source=pdf_text observed=2026-08-03T01:53:14.541238Z digest=sha256:d5e01057ad891260da3926a4490599bd8abc2a86bce70477793fa95817c9d12e

Observation 4e76fd46-b223-479c-a513-ecdd0e8794c6 · outbound

This paper cites Stanley and J.R.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Stanley and J.R

Reference 20

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source=pdf_text observed=2026-08-03T01:53:14.619750Z digest=sha256:b8fa8d0f25ca42d93af9296b256159cb46cc664df55293804adff7f8c251434e

Observation f09b78e6-c0b4-4e65-bd82-a8b485ccd6ef · outbound

This paper cites Stembridge,A Maple package for symmetric functions, J.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Stembridge,A Maple package for symmetric functions, J

Reference 21

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source=pdf_text observed=2026-08-03T01:53:14.677668Z digest=sha256:a5388ade6885fdcfcde49801a867cfbe94cbe9d2c4e7c824f59c408b853777f0

Observation 633f5b59-cc0f-40f1-bc5e-eb6ff6ef9679 · outbound

This paper cites Wang and M.M.Y.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Wang and M.M.Y

Reference 22

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source=pdf_text observed=2026-08-03T01:53:14.728615Z digest=sha256:e197764b3d25f9c62d65a7bda2352216674e4d97f2dbd771d981ede1736e3041

Pith citing papers

No inbound Pith citation observations are available.