Paper Citation Record · LEDGER

Spectral conditions for graphs to contain $k$-factors

As of 13 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2508.05678.

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

pith.paper-citation-record.v1
2508.05678 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T04:41:58.548275Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:24:30.420929Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T13:24:30.706061Z

Reference resolution

13 of 13 outbound references displayed

verified exact1
verified fuzzy7
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 70eb728a-5ea8-470e-a111-a1b3db593c45 · outbound

This paper cites Brouwer and W.

Spectral conditions for graphs to contain $k$-factors Brouwer and W

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T04:41:58.512242Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb26bbff-c88f-4c81-ac42-bd815e10fb32 · outbound

This paper cites Cho, J.Y.

Spectral conditions for graphs to contain $k$-factors Cho, J.Y

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:41:58.680918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 815c7619-0b55-4253-8b6d-7b6e8ffe9f00 · outbound

This paper cites an unresolved cited work.

Spectral conditions for graphs to contain $k$-factors Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T04:41:58.671951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 77259f79-abb7-42f6-ada0-7cfb7904e66d · outbound

This paper cites Fan and H.

Spectral conditions for graphs to contain $k$-factors Fan and H

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:41:58.662136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7b8ec856-6d4a-4fe1-af68-37500c156e72 · outbound

This paper cites Spectral conditions for $k$-extendability and $k$-factors of bipartite graphs.

Spectral conditions for graphs to contain $k$-factors Spectral conditions for $k$-extendability and $k$-factors of bipartite graphs

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-06T04:41:58.579989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2c3fee6e-4384-4490-8ab2-e01a0b12001a · outbound

This paper cites an unresolved cited work.

Spectral conditions for graphs to contain $k$-factors Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T04:41:58.652781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5dbd6ff6-7a82-49f3-ae67-38c60d28f119 · outbound

This paper cites Hong, J.L.

Spectral conditions for graphs to contain $k$-factors Hong, J.L

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:41:58.643532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7cd8a33e-de26-4513-b91e-77dea18ea957 · outbound

This paper cites Hao and S.

Spectral conditions for graphs to contain $k$-factors Hao and S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:41:58.634609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8ceabb0f-d0f2-4377-b2de-6dce48319e2b · outbound

This paper cites an unresolved cited work.

Spectral conditions for graphs to contain $k$-factors Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T04:41:58.625338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cf0ceb06-8f30-4da4-a66f-1038261a19d4 · outbound

This paper cites O, Spectral radius and matchings in graphs, Linear Algebra Appl.

Spectral conditions for graphs to contain $k$-factors O, Spectral radius and matchings in graphs, Linear Algebra Appl

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T04:41:58.540032Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f88aa36a-7900-4264-9a3f-e13f633d4f08 · outbound

This paper cites Tutte, The factors of graphs, Canad.

Spectral conditions for graphs to contain $k$-factors Tutte, The factors of graphs, Canad

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:41:58.608686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 10e6a3a0-3861-48d0-b576-78e8fe0f68a3 · outbound

This paper cites Wei and S.

Spectral conditions for graphs to contain $k$-factors Wei and S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:41:58.599119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 578a8cce-883d-4666-9093-319053eca090 · outbound

This paper cites Zhang, The spectral radius and k-power of Hamilton cycle of graphs, Discrete Math.

Spectral conditions for graphs to contain $k$-factors Zhang, The spectral radius and k-power of Hamilton cycle of graphs, Discrete Math

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:41:58.589953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation 3fe11d92-5297-4e15-99bf-c634e9a853a9 · inbound

A note on the spectral radius and $[a,b]$-factor of graphs cites this paper.

A note on the spectral radius and $[a,b]$-factor of graphs Spectral conditions for graphs to contain $k$-factors

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-05T13:24:30.780913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.