Paper Citation Record · LEDGER

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor

As of 16 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2412.06399.

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

pith.paper-citation-record.v1
2412.06399 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T19:49:32.623942Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

39 of 39 outbound references displayed

verified exact1
verified fuzzy24
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e9402d94-19a0-46cb-80b7-00029ebd636c · outbound

This paper cites Babai, B.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Babai, B

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.938743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 70bab881-65e3-4ce7-8539-246ed380d7c1 · outbound

This paper cites Bapat, Graphs and Matrices, Springer, New York, 2010.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Bapat, Graphs and Matrices, Springer, New York, 2010

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.930456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dde1ab91-a4d1-4401-bc76-d321c4d83364 · outbound

This paper cites Bollob´ as, V.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Bollob´ as, V

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.922122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f05fd6f7-4c25-4a3c-be0c-f442cad0f8ad · outbound

This paper cites Brouwer, W.H.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Brouwer, W.H

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T19:49:32.528407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac03a048-d03a-4c84-8fed-50f17b435fd9 · outbound

This paper cites Chen, X.D.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Chen, X.D

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.908974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c5956c6e-6806-4a9b-89a3-da37b7b2e790 · outbound

This paper cites Chen, A.M.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Chen, A.M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.901485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6899dacc-234d-48d0-986d-806b4a0e48a1 · outbound

This paper cites Chen, A.M.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Chen, A.M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.894087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7e49427c-d3b2-4b84-90da-19af8b7754cd · outbound

This paper cites Chen, A.M.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Chen, A.M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.887009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a01bb439-ad97-4a0b-b447-8d784a55a058 · outbound

This paper cites Cioab˘ a, D.N.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Cioab˘ a, D.N

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.879390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6fc3b6e1-559a-44a3-813e-964103f6195f · outbound

This paper cites Cioab˘ a, L.H.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Cioab˘ a, L.H

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.872769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a5bcdbd7-d598-42c3-8e4e-cba3b5d3a09a · outbound

This paper cites Chudnovsky, B.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Chudnovsky, B

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.865508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d051f1fd-e0d3-4f24-92eb-7d939a734021 · outbound

This paper cites an unresolved cited work.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:49:32.857664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2cc44d29-6619-4479-9661-f383b970c550 · outbound

This paper cites Fang, M.Q.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Fang, M.Q

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.850939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1857c395-e01d-4093-ae9e-a28671b0d1d1 · outbound

This paper cites Gao, X.M.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Gao, X.M

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.844022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation db4780b7-d883-48cc-89ab-84239927c6ab · outbound

This paper cites an unresolved cited work.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:49:32.836991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f91ba695-f68b-4702-b983-bdc74d70aeec · outbound

This paper cites an unresolved cited work.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:49:32.829190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7a67d64e-9ebf-4cce-b6e1-b2b437c671bc · outbound

This paper cites an unresolved cited work.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:49:32.821916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8801c725-590e-410a-9741-15cac70c5ab2 · outbound

This paper cites an unresolved cited work.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:49:32.814389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5f2d4856-03db-42dd-a25f-11189916c0e4 · outbound

This paper cites an unresolved cited work.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:49:32.807402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a7eecb32-3cd6-4390-ae57-46cf79a19497 · outbound

This paper cites an unresolved cited work.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:49:32.799647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 06d74910-60a0-435d-bb8e-52e74be9dfdf · outbound

This paper cites an unresolved cited work.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:49:32.792457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e2edcb83-ae42-4597-b7aa-c357332bf059 · outbound

This paper cites an unresolved cited work.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:49:32.784792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 61ed5ceb-0129-4917-90b6-44704f443d39 · outbound

This paper cites Lin, H.T.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Lin, H.T

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.778061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3da77a40-062b-43e8-b2b3-82fac55901a2 · outbound

This paper cites an unresolved cited work.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:49:32.771172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 227e713a-4f05-4445-9bcd-aaf859f16c9a · outbound

This paper cites an unresolved cited work.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:49:32.763544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f5613c0b-3ffe-474e-b5b5-0e862de0dedf · outbound

This paper cites Nikiforov, Bounds on graph eigenvalues II, Linear Algebra Ap pl.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Nikiforov, Bounds on graph eigenvalues II, Linear Algebra Ap pl

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.754797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 44852ff9-a164-4c51-bf3f-42e6f00f0a18 · outbound

This paper cites Nikiforov, A contribution to the Zarankiewicz problem, Linear Algebra Appl.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Nikiforov, A contribution to the Zarankiewicz problem, Linear Algebra Appl

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.746425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 551fe635-cb7f-479b-b0c3-259798ba979b · outbound

This paper cites Nikiforov, The spectral radius of graphs without paths and cycles of speciﬁed length, Linear Algebra Appl.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Nikiforov, The spectral radius of graphs without paths and cycles of speciﬁed length, Linear Algebra Appl

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.737741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3481e923-eeb4-4162-b568-716d771c5814 · outbound

This paper cites Nikiforov, Some new results in extremal graph theory: In su rveys in Combinatorics 2011, London Math.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Nikiforov, Some new results in extremal graph theory: In su rveys in Combinatorics 2011, London Math

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.729857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d909233a-f9b5-4406-a98c-e5780ca88871 · outbound

This paper cites Nikiforov, The spectral radius of graphs with no K2,t -minor, Linear Algebra Appl.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Nikiforov, The spectral radius of graphs with no K2,t -minor, Linear Algebra Appl

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.721421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e789dfa5-f996-48fe-9cb7-b1577a59aa64 · outbound

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

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Nikiforov, Merging the A- and Q-spectral theories, Appl

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T19:49:32.602727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2326e2e8-8c0c-4a7f-813d-6ad4bcecb0b0 · outbound

This paper cites Nikiforov, O.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Nikiforov, O

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.708553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b6c200c5-dbc8-48fe-bbf3-43418278e3ed · outbound

This paper cites Tait, The Colin de Verdi` ere parameter, excluded minors, an d the spectral radius, J.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Tait, The Colin de Verdi` ere parameter, excluded minors, an d the spectral radius, J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.700840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b4ed578e-236a-4070-affa-aec15b0ad6b7 · outbound

This paper cites Wang, W.W.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Wang, W.W

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.692391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a01e619a-b400-4df7-ab2a-bf82071b0770 · outbound

This paper cites Wilf, Spectral bounds for the clique and independence numbe rs of graphs, J.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Wilf, Spectral bounds for the clique and independence numbe rs of graphs, J

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.684133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 63632b55-6cbe-464c-b9df-ae96ead3551c · outbound

This paper cites Zhai, H.Q.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Zhai, H.Q

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.675761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c9090a92-e189-46c1-b7d2-c3d1741a62d9 · outbound

This paper cites an unresolved cited work.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:49:32.667334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3fc4ac5c-904a-40e1-bf8c-018cdedd4611 · outbound

This paper cites Zhang, Z.Z.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor Zhang, Z.Z

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:49:32.659294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 49f0b162-29d2-4ee9-a721-7d8651ff08fa · outbound

This paper cites A generalization on spectral extrema of $K_{s,t}$-minor free graphs.

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor A generalization on spectral extrema of $K_{s,t}$-minor free graphs

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-11T19:49:32.651293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.