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Paper Citation Record · LEDGER

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

As of 13 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2509.00769.

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

pith.paper-citation-record.v1
2509.00769 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:24:30.611529Z

measured 28 of 28 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

28 of 28 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1dca98aa-4186-4ae4-829f-b7014cc85fbd · outbound

This paper cites Brouwer, W.

A note on the spectral radius and $[a,b]$-factor of graphs Brouwer, W

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.466927Z

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=2026-08-05T13:24:27.803492Z digest=sha256:f070e5955cbab4174a1226f274e9abd652aa5de8d6a813f9c6ca63a755d58b80

Observation 9d5f0707-43d4-49e0-bddc-9ec3772bf702 · outbound

This paper cites Cioab˘ a, D.

A note on the spectral radius and $[a,b]$-factor of graphs Cioab˘ a, D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.456203Z

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=2026-08-05T13:24:27.878983Z digest=sha256:72bf3c7aabf4e3f5b2c6dc28c57d9ea20251eced8f22d3d2b824490887d696b7

Observation 186caa10-1ec5-4fae-b78a-8b42ba25f3a3 · outbound

This paper cites Cioab˘ a, Perfect matchings, eigenvalues and expansion,C.

A note on the spectral radius and $[a,b]$-factor of graphs Cioab˘ a, Perfect matchings, eigenvalues and expansion,C

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.446252Z

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=2026-08-05T13:24:28.053185Z digest=sha256:5343441e54b17c52fad850c55a4a6b2fa36f314b5ed3662c1c3f1eb80ef9269e

Observation 4c17bdb9-7e16-465b-a096-c5e3dd6a090e · outbound

This paper cites Cioab˘ a, D.

A note on the spectral radius and $[a,b]$-factor of graphs Cioab˘ a, D

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.435893Z

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=2026-08-05T13:24:28.186547Z digest=sha256:cc4389a1a82e4633619d192edcef1159e051b9cdc6ae852482309716a3d9ae35

Observation d3c681bf-d86a-4cec-afa6-0a8bcafb4571 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.425753Z

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=2026-08-05T13:24:28.338643Z digest=sha256:c791e45d3a48a5ef6d66f4e9521016d23e4e978b2169725044cf7c8b159fe978

Observation 1e8fcb81-a9eb-4fad-9efa-0625d6bce121 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.415663Z

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=2026-08-05T13:24:28.462712Z digest=sha256:010693026eb865216c9279e2a6874c546c5bfc2dfd4ad19faea7497420df480c

Observation d2f5b1a7-fb53-4ad6-9e89-ed25fa0bf75d · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.405430Z

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=2026-08-05T13:24:28.609506Z digest=sha256:05decaf73cfbb29de77f7660c6e00d543d2731efd49700257bd389b4296ca3c4

Observation 5be4f0b1-10ef-4fc1-bcd1-d5e315afbe67 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.395469Z

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=2026-08-05T13:24:28.712475Z digest=sha256:31cb912548f21619c6b0cd21dc5b5db598307d386bb3601b12ceade3ebb71019

Observation 2f1029cc-fb4f-4eca-b409-390c22697532 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.385362Z

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=2026-08-05T13:24:28.806934Z digest=sha256:17e1992c3ffb3f8a2d1c72932aae1d4905416811589cc1fa73f1a96ed134bc82

Observation 36f25f95-0dad-404b-9f55-4155e4372e6f · outbound

This paper cites Gu, Regular factors and eigenvalues of regular graphs, European J.

A note on the spectral radius and $[a,b]$-factor of graphs Gu, Regular factors and eigenvalues of regular graphs, European J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.374895Z

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=2026-08-05T13:24:28.906828Z digest=sha256:5f6de6b8497c4af6bbe820f9909a21a55c8fb4854632697420386d07e2965aee

Observation d0557d44-b8a0-429f-bf52-132e919d24b2 · outbound

This paper cites Heinrich, P.

A note on the spectral radius and $[a,b]$-factor of graphs Heinrich, P

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.363658Z

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=2026-08-05T13:24:28.986423Z digest=sha256:802826c7644da7caf44caab6c5dd674b2a7472be5011f0730d9b04d843fab48d

Observation 653da452-a59a-44c8-baf0-82e9e7053137 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.352078Z

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=2026-08-05T13:24:29.025750Z digest=sha256:d32d3d5e59664797b79a171e3ebc12a07ba72db459d5efc04ceb444401670c4f

Observation 3153af80-2341-4594-b816-56d94864c249 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.341719Z

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=2026-08-05T13:24:29.177580Z digest=sha256:845d9cc386af18ac6643d13d1f455a5ce6f86dfeeacfb1e6184e89257729c019

Observation 4cf76648-23b2-4468-a7dc-81b21bf22148 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.330379Z

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=2026-08-05T13:24:29.251102Z digest=sha256:713009a4324e4bbd51488919f3e26dc2164e9c65ea42437a95edfd6792f88f3a

Observation 3c46e6e4-1c0c-4357-bfc7-e5d5580687da · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.318513Z

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=2026-08-05T13:24:29.404572Z digest=sha256:411fefffd2e500a30c663f2921c0ea690a07d373266ab8ab2584c887312953b8

Observation 043fab97-c881-4a1a-a260-b3b15301383c · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.306681Z

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=2026-08-05T13:24:29.515570Z digest=sha256:a72ffc9bb47c7418171ff1012de40a7b1e22fef95bd32c792775cab0c7dc938f

Observation 1315bda1-0ead-4304-8f26-187761301a33 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.296113Z

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=2026-08-05T13:24:29.595899Z digest=sha256:7f2039fac14098e4a38ebb29c5aaa44aac07f5aa6043bcfa71e4c79bbd0db138

Observation 569932de-4b25-4c08-a695-3cfb6469cc2c · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.285275Z

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=2026-08-05T13:24:29.662070Z digest=sha256:57c656442ed5845471c73414e0a66f134f984dff14d56df38b0450e36b744837

Observation d281c07d-c32f-453f-bef0-7d0ce90d1fc5 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.274358Z

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=2026-08-05T13:24:29.738375Z digest=sha256:cd5d5bd47ae960f218379969b2f154e0f8d0dccca503ca0436747b2d451d9088

Observation a763278e-1c2e-4378-9c15-547a1950e68e · outbound

This paper cites Lu, Regular graphs, eigenvalues and regular factors, J.

A note on the spectral radius and $[a,b]$-factor of graphs Lu, Regular graphs, eigenvalues and regular factors, J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.263312Z

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=2026-08-05T13:24:29.883592Z digest=sha256:80acd92ceffe2f4dc20a5f9d817f708f0c2908210a223f5b5cffce0f41e57150

Observation a81c865b-6caf-44fa-a8ac-4d9c2a6b87a0 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-05T13:24:30.003127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T13:24:30.003127Z digest=sha256:80b6500a3ef3cea6f239b98ea3ad31996421f0436fc095a84a36123f6e70c02f

Observation 9fce7171-175e-4185-8251-28a89558489c · outbound

This paper cites Nikiforov, Some inequalities for the largest eigenvalue of a graph, Combin.

A note on the spectral radius and $[a,b]$-factor of graphs Nikiforov, Some inequalities for the largest eigenvalue of a graph, Combin

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.243677Z

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=2026-08-05T13:24:30.084948Z digest=sha256:a38a55992bf73360a852c649112e930f6ce34a40a20c9c0e80bece70fcac8275

Observation 4406c56b-424f-4bcb-9520-ff6cc363f5e8 · outbound

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

A note on the spectral radius and $[a,b]$-factor of graphs O, Spectral radius and matchings in graphs, Linear Algebra Appl.614 (2021) 316–324

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.230952Z

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=2026-08-05T13:24:30.169538Z digest=sha256:962945266fbcf14a109c3ab31f9ab27121856259509e6270bd6a13d684c88e3d

Observation d17892ce-b5e0-4a70-9c3f-b9448aa6aa78 · outbound

This paper cites O, Eigenvalues and [a, b]-factors in regular graphs, J.

A note on the spectral radius and $[a,b]$-factor of graphs O, Eigenvalues and [a, b]-factors in regular graphs, J

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.219969Z

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=2026-08-05T13:24:30.232509Z digest=sha256:205f8fae895b83d6fe44b0919af839dbba7b0e796b83de45c40f7570ee8e062d

Observation 1635b7f5-0961-42e4-ab32-127918e905bf · outbound

This paper cites Petersen, Die Theorie der regul¨ aren graphs, Acta Math.

A note on the spectral radius and $[a,b]$-factor of graphs Petersen, Die Theorie der regul¨ aren graphs, Acta Math

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.208078Z

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=2026-08-05T13:24:30.337637Z digest=sha256:47d6446f776dec92b0fbf83599ef1c94b1e07fc4d93b46790e73ab3a59e6deba

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

This paper cites Spectral conditions for graphs to contain $k$-factors.

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T13:24:30.420929Z digest=sha256:5d7e8b30aaed96f7f42ad36841e60d23ea01665521efb1580bbbcae9a4495a0f

Observation fcdc3347-84a6-4ec7-bf0e-737d5994508e · outbound

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

A note on the spectral radius and $[a,b]$-factor of graphs Tutte, The factors of graphs, Canad

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.195864Z

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=2026-08-05T13:24:30.501312Z digest=sha256:e66e5b5ba179e4efb7da44788e1d34d993aea4a8c986c091c6f0115d0f51c6cc

Observation 3756c0df-ede1-4a66-b671-afc7e21782a2 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.009904Z

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=2026-08-05T13:24:30.611529Z digest=sha256:90c57edea989f2fa43ac37533336bdc6707937bf227eab0493fb95d6b6463bd4

Pith citing papers

No inbound Pith citation observations are available.