Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-01T00:54:16.947147Z
Paper Citation Record · LEDGER
Local Tur\'an inequalities for walks and the spectral radius
As of 5 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 2 inbound Pith citation observations for arXiv:2605.02191.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-28T05:32:45.769795Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-02T09:16:49.509109Z
Reference resolution
27 of 27 outbound references displayed
- verified exact5
- verified fuzzy14
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ed2d0aa2-149b-429c-9200-163edca45ccc · outbound
This paper cites Vertex-Based Localization of Tur\'{a}n's Theorem.
Local Tur\'an inequalities for walks and the spectral radius Vertex-Based Localization of Tur\'{a}n's Theorem
Reference 1
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T00:55:11.611439Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0d7dd0b8-747d-436e-a33d-307b4e78ae86 · outbound
This paper cites Berman and R.
Local Tur\'an inequalities for walks and the spectral radius Berman and R
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T07:53:28.106404Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation b00a7ad3-a294-42d3-92fc-6d872b7030ad · outbound
This paper cites Bollobás and V.
Local Tur\'an inequalities for walks and the spectral radius Bollobás and V
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T07:53:28.079305Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c4ad7f7b-fc18-4926-986f-f347b3f2a7fd · outbound
This paper cites A generalization of Tur\'{a}n's theorem.
Local Tur\'an inequalities for walks and the spectral radius A generalization of Tur\'{a}n's theorem
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T00:55:11.622360Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 899aba28-e44e-4e62-922b-79b9b7072c32 · outbound
This paper cites an unresolved cited work.
Local Tur\'an inequalities for walks and the spectral radius Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T07:53:28.100427Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 705a168d-986e-4b0c-9602-015e5ae067ff · outbound
This paper cites an unresolved cited work.
Local Tur\'an inequalities for walks and the spectral radius Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T07:53:28.094393Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0dd07583-e89b-4569-8af4-d811aca0a707 · outbound
This paper cites an unresolved cited work.
Local Tur\'an inequalities for walks and the spectral radius Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T07:53:28.086511Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation e74dd341-ba43-4fa0-9deb-a5ec27a6eb31 · outbound
This paper cites Elphick, W.
Local Tur\'an inequalities for walks and the spectral radius Elphick, W
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T07:53:28.089760Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 37a7afb5-838d-4e46-a988-be37de29bc79 · outbound
This paper cites an unresolved cited work.
Local Tur\'an inequalities for walks and the spectral radius Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T07:53:28.087731Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 5e425dc6-69e7-471e-9dd6-391bca6b2ed0 · outbound
This paper cites Friedland and S.
Local Tur\'an inequalities for walks and the spectral radius Friedland and S
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T07:53:28.098593Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 29da5a37-6ad0-49b9-b504-b3398a1b8321 · outbound
This paper cites Hong, A bound on the spectral radius of graphs,Linear Algebra Appl.108 (1988), 135–139.
Local Tur\'an inequalities for walks and the spectral radius Hong, A bound on the spectral radius of graphs,Linear Algebra Appl.108 (1988), 135–139
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T07:53:28.073417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 1a2aa03e-e876-499c-b956-65f8a680971f · outbound
This paper cites Hong, J.-L.
Local Tur\'an inequalities for walks and the spectral radius Hong, J.-L
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T07:53:28.081073Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 1f9632dd-852a-424a-bfc4-86623acb2c4f · outbound
This paper cites Rajesh Kannan, H.
Local Tur\'an inequalities for walks and the spectral radius Rajesh Kannan, H
Reference 13
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T00:55:11.616666Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 1e615042-6ab2-460c-bcf4-0f77fff4e921 · outbound
This paper cites Kirsch and J.
Local Tur\'an inequalities for walks and the spectral radius Kirsch and J
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T07:53:28.104372Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 91d5e57f-06b1-43bd-8445-d52ba650998f · outbound
This paper cites Liu and B.
Local Tur\'an inequalities for walks and the spectral radius Liu and B
Reference 15
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T00:55:11.614262Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation aa8fc4b7-18b1-4d2a-abc3-3f4b54126d51 · outbound
This paper cites Liu and B.
Local Tur\'an inequalities for walks and the spectral radius Liu and B
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T07:53:28.097736Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 47206be3-820e-4023-8c27-2418b9758389 · outbound
This paper cites Li and B.
Local Tur\'an inequalities for walks and the spectral radius Li and B
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T00:55:11.619660Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation dabc2bae-88e2-46fd-95cb-28a6bae3c9cd · outbound
This paper cites an unresolved cited work.
Local Tur\'an inequalities for walks and the spectral radius Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T07:53:28.102022Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation b9288e65-b380-4915-80c2-dc61de6a44f5 · outbound
This paper cites an unresolved cited work.
Local Tur\'an inequalities for walks and the spectral radius Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T07:53:28.104198Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 20389349-36aa-475a-9b99-3e3725b18548 · outbound
This paper cites Nikiforov, Some inequalities for the largest eigenvalue of a graph,Combin.
Local Tur\'an inequalities for walks and the spectral radius Nikiforov, Some inequalities for the largest eigenvalue of a graph,Combin
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T07:53:28.099942Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 66e80f58-a88f-4396-99a9-0ff2cb2fa8e8 · outbound
This paper cites Nikiforov, Walks and the spectral radius of graphs,Linear Algebra Appl.418 (2006), no.
Local Tur\'an inequalities for walks and the spectral radius Nikiforov, Walks and the spectral radius of graphs,Linear Algebra Appl.418 (2006), no
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T07:53:28.109052Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0d55b110-8759-49a7-a062-620b97a0d1a5 · outbound
This paper cites Nikiforov, Some new results in extremal graph theory, inSurveys in Combinatorics 2011, London Math.
Local Tur\'an inequalities for walks and the spectral radius Nikiforov, Some new results in extremal graph theory, inSurveys in Combinatorics 2011, London Math
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T07:53:28.111203Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ed2b6f52-f100-46ff-9567-9319b91aae8c · outbound
This paper cites Nosal,Eigenvalues of Graphs, Master’s thesis, University of Calgary.
Local Tur\'an inequalities for walks and the spectral radius Nosal,Eigenvalues of Graphs, Master’s thesis, University of Calgary
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T07:53:28.106633Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c44408bf-83f9-4028-8082-59ba0a07b029 · outbound
This paper cites Seneta,Non-negative Matrices and Markov Chains, Springer Series in Statistics, Springer, New York.
Local Tur\'an inequalities for walks and the spectral radius Seneta,Non-negative Matrices and Markov Chains, Springer Series in Statistics, Springer, New York
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T07:53:28.113586Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 8a79ee17-0ebb-460d-82ae-2011c9c54b44 · outbound
This paper cites an unresolved cited work.
Local Tur\'an inequalities for walks and the spectral radius Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T07:53:28.090920Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 5f41e87a-7c98-44fc-9dd3-57fc7ffcc300 · outbound
This paper cites Turán, Eine Extremalaufgabe aus der Graphentheorie,Mat.
Local Tur\'an inequalities for walks and the spectral radius Turán, Eine Extremalaufgabe aus der Graphentheorie,Mat
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T07:53:28.093121Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 63a2b75f-00e5-47eb-8e14-323cc3604783 · outbound
This paper cites an unresolved cited work.
Local Tur\'an inequalities for walks and the spectral radius Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T07:53:28.115939Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Pith citing papers
Observation 3e6c46c7-112a-405f-849c-851805c9dce9 · inbound
On spectral Tur\'an theorems: confirming a conjecture of Guiduli and two problems of Nikiforov cites this paper.
On spectral Tur\'an theorems: confirming a conjecture of Guiduli and two problems of Nikiforov Local Tur\'an inequalities for walks and the spectral radius
Reference 27
- Resolution
- verified exact
- local_arxiv, observed 2026-05-11T18:06:05.966147Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c45a970c-0f56-41f1-b902-77a9b765d2b7 · inbound
Localization of spectral Tur\'an theorems for signed graphs cites this paper.
Localization of spectral Tur\'an theorems for signed graphs Local Tur\'an inequalities for walks and the spectral radius
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-07-02T09:16:49.510254Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.