Paper Citation Record · LEDGER

$4K_1$-free graph with the cop number $3$

As of 8 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2505.15416.

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

pith.paper-citation-record.v1
2505.15416 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:31:22.203656Z

measured 17 of 17 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 2026-08-06T16:28:03.922603Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T16:28:04.026109Z

Reference resolution

16 of 16 outbound references displayed

verified exact2
verified fuzzy10
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a4c59ff2-1656-453a-81f7-f3f33a9c6ed1 · outbound

This paper cites Aigner, M.

$4K_1$-free graph with the cop number $3$ Aigner, M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:22.460853Z

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 2ec81773-333e-4e71-a0db-13e6c6136529 · outbound

This paper cites Baird, A.

$4K_1$-free graph with the cop number $3$ Baird, A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:22.454415Z

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 5a2ccb86-364b-46b9-a4ec-a5d09be6480a · outbound

This paper cites Chudnovsky, S.

$4K_1$-free graph with the cop number $3$ Chudnovsky, S

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:22.448563Z

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 8d20dd06-b95f-46c1-9b46-a2084543c4bc · outbound

This paper cites an unresolved cited work.

$4K_1$-free graph with the cop number $3$ Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:31:22.442506Z

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 17a1dd62-3e44-4cd8-a43b-c79ee062dbca · outbound

This paper cites an unresolved cited work.

$4K_1$-free graph with the cop number $3$ Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:31:22.436018Z

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 b5c37cb5-d411-4367-86cc-7e352a6d059c · outbound

This paper cites Joret, M.

$4K_1$-free graph with the cop number $3$ Joret, M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:22.429940Z

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 17a5c5c3-d9e8-4c87-93cb-abeab748c6c3 · outbound

This paper cites The Cop Number of Graphs with Forbidden Induced Subgraphs.

$4K_1$-free graph with the cop number $3$ The Cop Number of Graphs with Forbidden Induced Subgraphs

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:31:22.366525Z

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 c03802f4-5cff-4635-a696-1d57a6eb00cd · outbound

This paper cites an unresolved cited work.

$4K_1$-free graph with the cop number $3$ Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:31:22.422787Z

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 9c002095-9bad-4061-96b2-7703659ccd22 · outbound

This paper cites Nowakowski, P.

$4K_1$-free graph with the cop number $3$ Nowakowski, P

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:22.416397Z

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 d302866a-a486-4e86-93e2-cbf642106384 · outbound

This paper cites Peeters, Strongly Regular Graphs that are Locally a D isjoint Union of Hexagons, Europ.

$4K_1$-free graph with the cop number $3$ Peeters, Strongly Regular Graphs that are Locally a D isjoint Union of Hexagons, Europ

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:22.409348Z

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 416fa3ea-2296-474d-bf06-f13b022d4ccd · outbound

This paper cites an unresolved cited work.

$4K_1$-free graph with the cop number $3$ Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:31:22.402720Z

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 f385e2b7-c262-423d-802b-c10ffc4cc2f8 · outbound

This paper cites Quilliot, Jeux et points ﬁxes sur les graphes, Th` ese de 3` eme cycle, Universit´ e de Paris VI, 1978.

$4K_1$-free graph with the cop number $3$ Quilliot, Jeux et points ﬁxes sur les graphes, Th` ese de 3` eme cycle, Universit´ e de Paris VI, 1978

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:22.395630Z

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 0b0e743a-8d5a-4b3a-a807-2d13a450cc08 · outbound

This paper cites Sivaraman, An application of the Gy´ arf´ as path argument, Discrete Math.

$4K_1$-free graph with the cop number $3$ Sivaraman, An application of the Gy´ arf´ as path argument, Discrete Math

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:22.388517Z

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 97ecdef0-e7be-4e7d-ab82-ff1a41e4f461 · outbound

This paper cites Cop number of graphs without long holes.

$4K_1$-free graph with the cop number $3$ Cop number of graphs without long holes

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:31:22.356812Z

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 2481f4d2-a486-48b4-8683-0f64bc052a7b · outbound

This paper cites Turcotte, S.

$4K_1$-free graph with the cop number $3$ Turcotte, S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:22.380915Z

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 5031dde6-2c78-4feb-b43a-f21bbbb5b3f0 · outbound

This paper cites Turcotte, Cops and robber on 2 K2-free graphs, Discrete Math.

$4K_1$-free graph with the cop number $3$ Turcotte, Cops and robber on 2 K2-free graphs, Discrete Math

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:22.373890Z

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 15a00bef-1c08-4fee-bfcd-fa10965148bd · inbound

Cops and Robbers, Clique Covers, and Induced Cycles cites this paper.

Cops and Robbers, Clique Covers, and Induced Cycles $4K_1$-free graph with the cop number $3$

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:28:04.032991Z

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.