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Paper Citation Record · LEDGER

Coloring of some $(P_2\cup P_4)$-free graphs

As of 12 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2412.14524.

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

pith.paper-citation-record.v1
2412.14524 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:25:21.768693Z

measured 20 of 20 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 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

20 of 20 outbound references displayed

  • verified exact5
  • verified fuzzy13
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4d8d5496-74d7-4d79-9618-cb84368f20fc · outbound

This paper cites an unresolved cited work.

Coloring of some $(P_2\cup P_4)$-free graphs Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-11T12:25:21.694060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:25:21.694060Z digest=sha256:b2f4cd44264df89a4dba77e8c7252d160bf20a17406139b7818bfe6db9acd1f8

Observation a83760d8-4bdb-4a3a-a7d8-1ccc85004478 · outbound

This paper cites an unresolved cited work.

Coloring of some $(P_2\cup P_4)$-free graphs Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:25:22.012962Z

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=2026-08-11T12:25:21.699123Z digest=sha256:dadfd8a61446b4a21299369e6e70f8bc89851b0595850cafc782bd70d1dfe774

Observation ee546956-21b8-416a-9077-dfb450944cfc · outbound

This paper cites Brause, B.

Coloring of some $(P_2\cup P_4)$-free graphs Brause, B

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:25:22.003122Z

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=2026-08-11T12:25:21.703190Z digest=sha256:91158237e63052568752b2748c3b7ee24b4b3a8c6a759c1909442ba65080f5db

Observation 94403546-c764-4044-bba9-a352d6476724 · outbound

This paper cites Char, and T.

Coloring of some $(P_2\cup P_4)$-free graphs Char, and T

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:25:21.992829Z

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=2026-08-11T12:25:21.707227Z digest=sha256:d3094c589e0ada596ac1fefe4e89e6f9abbb8c0226eddbe10c592cf3b74a959b

Observation 4aaea21f-d348-4686-b3a3-e203a6cfa76f · outbound

This paper cites An optimal chromatic bound for ($P_2+P_3$, gem)-free graphs.

Coloring of some $(P_2\cup P_4)$-free graphs An optimal chromatic bound for ($P_2+P_3$, gem)-free graphs

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:25:21.865952Z

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=2026-08-11T12:25:21.711798Z digest=sha256:c4235eb4592378d8d24f5de0b3cffd8fdfe4c790414afb5202fe449b4c6e4bed

Observation 5a139d7f-f69a-4bed-895b-bc75f3f07d61 · outbound

This paper cites Chudnovsky, N.

Coloring of some $(P_2\cup P_4)$-free graphs Chudnovsky, N

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:25:21.982629Z

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=2026-08-11T12:25:21.716027Z digest=sha256:cb5aaa01395eec85f9714d47f9fd887aad6ab8beaee46b52643b790cb4c1d835

Observation a573e239-c454-44fb-b701-fac8905a3fd3 · outbound

This paper cites Francis, A.

Coloring of some $(P_2\cup P_4)$-free graphs Francis, A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:25:21.971606Z

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=2026-08-11T12:25:21.720206Z digest=sha256:0e297af916dd8c4cd3d55c285589efd7b0b64fab2481f41b50bed29a59b4ba29

Observation f118d25d-fbed-46b7-a9c4-3f4c7dfdd01a · outbound

This paper cites Gy´ arf´ as, Problems from the world surrounding perfect graphs, Zastosowania Matem- atyki Applicationes Mathematicae, 19 (1987) 413-441.

Coloring of some $(P_2\cup P_4)$-free graphs Gy´ arf´ as, Problems from the world surrounding perfect graphs, Zastosowania Matem- atyki Applicationes Mathematicae, 19 (1987) 413-441

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:25:21.961503Z

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=2026-08-11T12:25:21.723727Z digest=sha256:56a4403aa4155e77d59893a86ff2eca455c870938390d60f294477251911649d

Observation c8743a5e-9cb3-483c-aaaf-41d2dd832451 · outbound

This paper cites Gy´ arf´ as, On Ramsey covering numbers, Coll.

Coloring of some $(P_2\cup P_4)$-free graphs Gy´ arf´ as, On Ramsey covering numbers, Coll

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:25:21.951109Z

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=2026-08-11T12:25:21.727288Z digest=sha256:51363b73c9ecdd8a4dd064421e33fc8ed1fc5a43baf7e22b2f20ed8a18419c86

Observation d4f33454-6f76-4e2f-9427-4dd660b98060 · outbound

This paper cites Karhick and S.

Coloring of some $(P_2\cup P_4)$-free graphs Karhick and S

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:25:21.941242Z

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=2026-08-11T12:25:21.730930Z digest=sha256:8dac4d986609409a9dbd6a36a931e8ce51a9d508504e0c44a5efc6b050dde883

Observation 2ffb8974-1049-41fa-b17c-901ab5d655b2 · outbound

This paper cites On the chromatic number of some ($P_3\cup P_2$)-free graphs.

Coloring of some $(P_2\cup P_4)$-free graphs On the chromatic number of some ($P_3\cup P_2$)-free graphs

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:25:21.851338Z

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=2026-08-11T12:25:21.734570Z digest=sha256:4eae2adb02ca75c9b01570ed65f4f84fc56b15d74e80612ad6a26e992a3ccc3c

Observation 72d6eb7e-5c04-47a1-9b77-39900786b350 · outbound

This paper cites A tight linear chromatic bound for ($P_3\cup P_2, W_4$)-free graphs.

Coloring of some $(P_2\cup P_4)$-free graphs A tight linear chromatic bound for ($P_3\cup P_2, W_4$)-free graphs

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:25:21.836018Z

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=2026-08-11T12:25:21.738535Z digest=sha256:b4eab4185c9543c5e85745543e173b3ff544b8f65a83b310ac9f9b387b359908

Observation 6d527c71-5029-46b3-8eef-2c714aa635a3 · outbound

This paper cites Optimal chromatic bound for ($P_3\cup P_2$, house)-free graphs.

Coloring of some $(P_2\cup P_4)$-free graphs Optimal chromatic bound for ($P_3\cup P_2$, house)-free graphs

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:25:21.820263Z

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=2026-08-11T12:25:21.742727Z digest=sha256:506f8675c9f7c0646bbcd01941ed0bebf69ec071543a45785432ae49ab67a986

Observation 06170775-5202-4d9a-9195-d0c803febe79 · outbound

This paper cites Linear $\chi$-binding functions for $\{P_3\cup P_2, gem\}$-free graphs.

Coloring of some $(P_2\cup P_4)$-free graphs Linear $\chi$-binding functions for $\{P_3\cup P_2, gem\}$-free graphs

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:25:21.804837Z

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=2026-08-11T12:25:21.746875Z digest=sha256:9d72c449bb29d12094d0aec9a60af5f4dcbc151af96c71608559d9b3387c7921

Observation 9896f47b-5fb3-40eb-b94b-9e3fd74660f8 · outbound

This paper cites Schiermeyer, Chromatic number of P5-free graphs: Reed’s conjecture, Disc.

Coloring of some $(P_2\cup P_4)$-free graphs Schiermeyer, Chromatic number of P5-free graphs: Reed’s conjecture, Disc

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:25:21.930999Z

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=2026-08-11T12:25:21.750783Z digest=sha256:19fc680a9b7570bf70cd0e3f52d3e10291dff8fd963eea874737d5591ccc2222

Observation eb075158-048f-4636-b980-90f06aaaec88 · outbound

This paper cites Seinsche, On a property of the class of n-colorable graphs, J.

Coloring of some $(P_2\cup P_4)$-free graphs Seinsche, On a property of the class of n-colorable graphs, J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:25:21.920569Z

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=2026-08-11T12:25:21.754601Z digest=sha256:867981fc50bb4497d7cbbdbcc00fbff4322fcc55dd8172ba22f64d66d2175fb4

Observation b6cd4693-0679-4440-a1d2-91d6c6961f69 · outbound

This paper cites Sumner, Subtrees of a graph and the chromatic number, The theory and applications of graphs, John Wiley & Sons, New York, (1981), pp.

Coloring of some $(P_2\cup P_4)$-free graphs Sumner, Subtrees of a graph and the chromatic number, The theory and applications of graphs, John Wiley & Sons, New York, (1981), pp

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:25:21.909979Z

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=2026-08-11T12:25:21.758003Z digest=sha256:6dfbe66bfc91ff711a5d68360fecd225441754402d21f0d3a729cfa95f2b56c0

Observation afdaab04-bdbc-4ba2-a15f-6c92f8dd500d · outbound

This paper cites Wagon, A bound on the chromatic number of graphs without certain induced sub- graphs, J.

Coloring of some $(P_2\cup P_4)$-free graphs Wagon, A bound on the chromatic number of graphs without certain induced sub- graphs, J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:25:21.899417Z

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=2026-08-11T12:25:21.761526Z digest=sha256:29136ad09b848b15a505c6754f4723e59d7b8d611e9943077d8f5194020cbffe

Observation ca1dd3f3-a7f8-4f49-bbab-5c421e79eb42 · outbound

This paper cites Wu, and B.

Coloring of some $(P_2\cup P_4)$-free graphs Wu, and B

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:25:21.888682Z

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=2026-08-11T12:25:21.765020Z digest=sha256:87dc4d74584fa4cba033ed49a39054e8c81fc9de37637f5626dec94b40c585ea

Observation 4e6b5712-4589-421d-9f4a-3315285af9d8 · outbound

This paper cites Xu and X.

Coloring of some $(P_2\cup P_4)$-free graphs Xu and X

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:25:21.877071Z

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=2026-08-11T12:25:21.768693Z digest=sha256:2b501184a20f8d476136c886b886c128d10a8fec4747cf7addf4ae028f10d9df

Pith citing papers

No inbound Pith citation observations are available.