Paper Citation Record · LEDGER

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs

As of 10 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2501.05029.

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

pith.paper-citation-record.v1
2501.05029 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:34:37.977414Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:11:45.150570Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T16:11:49.106726Z

Reference resolution

35 of 35 outbound references displayed

verified exact0
verified fuzzy13
unresolved22
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ff7ebbab-8355-4cbd-a15a-231e89c0ddea · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:39.157746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c25aeaf3-3e1d-434e-9d6c-1c3fdebc0238 · outbound

This paper cites Akiyama, D.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Akiyama, D

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:34:39.122218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9ce32fa1-d69b-42c9-99b3-c8de304c2caa · outbound

This paper cites Kaneko, A necessary and suﬃcient condition for the existenc e of a path factor every com- ponent of which is a path of length at least two, J.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Kaneko, A necessary and suﬃcient condition for the existenc e of a path factor every com- ponent of which is a path of length at least two, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:34:39.095939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b49217e3-989d-4b79-a72f-7edae268a146 · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:39.057221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f4bed35e-d00a-405a-bc86-fd718e93e582 · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:39.022553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation cd8aa5e2-ec67-4f97-a1ce-3530fef1cce1 · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:38.992767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5706d775-83c6-4ceb-89ec-5eeb4fc58001 · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:38.964410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9b86424f-8242-4ce3-b4ab-84c0418615ac · outbound

This paper cites Zhou, Some results on path-factor critical avoidable graphs , Discussiones Mathematicae Graph Theory 43(1) (2023) 233–244.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Zhou, Some results on path-factor critical avoidable graphs , Discussiones Mathematicae Graph Theory 43(1) (2023) 233–244

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:34:38.943141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation acc09885-918d-4b80-afe5-7affbcd91bd8 · outbound

This paper cites Zhou, Path factors and neighborhoods of independent sets in graphs, Acta Mathematicae Applicatae Sinica, English Series 39(2) (2023) 232–238.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Zhou, Path factors and neighborhoods of independent sets in graphs, Acta Mathematicae Applicatae Sinica, English Series 39(2) (2023) 232–238

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:34:38.917699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6cf308b0-fd68-4d9b-a117-be9ee45cabeb · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:38.872023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6fbf2f7e-9516-469f-8101-b537d5b2c9f6 · outbound

This paper cites Tutte, The 1-factors of oriented graphs, Proc.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Tutte, The 1-factors of oriented graphs, Proc

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:34:38.839722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bb396096-bdbc-4e22-9199-548d3bf613cc · outbound

This paper cites Klopp, E.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Klopp, E

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:34:38.799648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3224c518-427b-4ee3-999e-6f232bbb6406 · outbound

This paper cites Amahashi, M.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Amahashi, M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:34:38.756222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 975481c2-14fd-4db8-bbdc-0b49d27cf836 · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:38.727310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bf1578b1-4317-49d8-8f75-66f80d086b55 · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:38.686516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 13a1f04e-d697-4d3b-82cf-de03adf22e5a · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:38.654219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation be7cebd9-dc5c-45b5-b3b0-303d5cfe0a0f · outbound

This paper cites Nikiforov, Merging the A- and Q-spectral theories, Appl.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Nikiforov, Merging the A- and Q-spectral theories, Appl

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:34:38.628159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e216265d-a4c5-48c0-9fe0-3a4f0df6dbdf · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:38.595924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0ed9bcf0-dbf5-456e-b8aa-e79834dbed05 · outbound

This paper cites Zhou, A neighborhood union condition for fractional ( a,b,k )-critical covered graphs, Discrete Appl.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Zhou, A neighborhood union condition for fractional ( a,b,k )-critical covered graphs, Discrete Appl

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:34:38.567073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2cf1dea5-bab2-4235-8ad1-4eec1187e345 · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:38.521899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ac8954c1-aca5-4058-a9fc-7c6f13899f05 · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:38.497686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation adcca3fa-af6d-4139-9903-792fc8a31ae6 · outbound

This paper cites Nikiforov, O.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Nikiforov, O

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:34:38.455920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation cd65d891-d5a9-4728-9f7e-74600728fee1 · outbound

This paper cites Alhevaz, M.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Alhevaz, M

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:34:38.425518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 36ee3a26-efd4-49fe-9013-64728ff9d0ca · outbound

This paper cites Wu, Characterizing spanning trees via the size or the spectr al radius of graphs, Aequationes Math.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Wu, Characterizing spanning trees via the size or the spectr al radius of graphs, Aequationes Math

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-10T21:34:37.866201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bea5edc4-9026-4bbc-a42c-cc58638947c9 · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:38.337876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3f8017d4-332c-4127-93f4-a74989aec543 · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:38.308908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation eaf65c9f-b297-4733-bcc4-36f78af06ca8 · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:38.279555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2fdf018f-daa0-4331-85a2-3ddde23e4d8e · outbound

This paper cites O, Spectral radius and matchings in graphs, Linear Algebra a nd its Applications 614 (2021) 316–324.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs O, Spectral radius and matchings in graphs, Linear Algebra a nd its Applications 614 (2021) 316–324

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:34:38.247635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6dbbb20e-534b-4529-9bc9-0d1eed0481c8 · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:38.215403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6c4b9f94-48b7-4603-ba41-b9b101d635ef · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:38.190504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation aa0753ae-cd37-4876-bb3f-c96afe13f1e9 · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:38.165477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 621bbf9c-151c-45e5-9f13-5ce1ecf14f5d · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:38.139819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7cf499a8-ae11-4025-8d8e-cd330b8d519c · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:38.102004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9d82fef4-3932-4ec5-908e-1e6e27acb514 · outbound

This paper cites an unresolved cited work.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:34:38.075286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6974d365-4860-42f9-8efd-1b193c50ba4f · outbound

This paper cites Haemers, Interlacing eigenvalues and graphs, Linear Algebr a and its Applications 227(1995)593–616.

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs Haemers, Interlacing eigenvalues and graphs, Linear Algebr a and its Applications 227(1995)593–616

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:34:38.045759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

Observation 29663b2e-aafc-4052-8511-91cd852223f2 · inbound

FedStrategist: A Meta-Learning Framework for Adaptive and Robust Aggregation in Federated Learning cites this paper.

FedStrategist: A Meta-Learning Framework for Adaptive and Robust Aggregation in Federated Learning An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs

Reference 2025

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:11:49.210511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.