Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T12:47:33.086165Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 3 inbound Pith citation observations for arXiv:2507.21689.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T12:47:33.086165Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-31T15:36:58.393155Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-06-28T22:22:43.368548Z
24 of 24 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation ee3dbda4-5408-40c5-8196-e28d511346cf · outbound
Spectral generalized Tur\'{a}n problems Many T copies in H -free graphs
Reference 1
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.
Observation 9b214bcc-d608-4276-9033-7433f8cc65fc · outbound
Spectral generalized Tur\'{a}n problems Brualdi and Ernie S
Reference 2
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.
Observation 80e63d1b-c7ae-4908-9a04-2bd730f66407 · outbound
Spectral generalized Tur\'{a}n problems Generalized Andr\'{a}sfai--Erd\H{o}s--S\'{o}s theorems for odd cycles
Reference 3
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.
Observation 3eb9912c-44f7-4b0b-8f41-24c8a7d3558d · outbound
Spectral generalized Tur\'{a}n problems Nondegenerate Tur\'{a}n problems under $(t,p)$-norms
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 135d5de5-b831-4b0a-b580-cbeb7569ed17 · outbound
Spectral generalized Tur\'{a}n problems Strong stability from vertex-extendability and applications in generalized Tur\'{a}n problems
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 19242db5-894c-49a3-b2fd-97e6a8a1fefe · outbound
Spectral generalized Tur\'{a}n problems When entropy meets T ur\' a n: new proofs and hypergraph T ur\' a n results
Reference 6
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.
Observation 2442e533-e781-4509-b8ca-5a68310f8b71 · outbound
Spectral generalized Tur\'{a}n problems Unresolved cited work
Reference 7
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.
Observation 22958c31-ecc2-48eb-8c25-dcd55e2172c3 · outbound
Spectral generalized Tur\'{a}n problems On some problems in graph theory, combinatorial analysis and combinatorial number theory
Reference 8
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.
Observation fff4e45a-6156-4ede-a104-6736f2ed2ed0 · outbound
Spectral generalized Tur\'{a}n problems Frankl and V
Reference 9
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.
Observation a20151e0-88c7-4762-b0a9-6baac4fb19e6 · outbound
Spectral generalized Tur\'{a}n problems On the maximum number of five-cycles in a triangle-free graph
Reference 10
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.
Observation a28ebc6a-0090-411a-91a3-8083502eca96 · outbound
Spectral generalized Tur\'{a}n problems On the number of pentagons in triangle-free graphs
Reference 11
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.
Observation 70d3b4a6-f238-46e8-bd14-08c3c80ffa2e · outbound
Spectral generalized Tur\'{a}n problems A criterion for Andr\'{a}sfai--Erd\H{o}s--S\'{o}s type theorems and applications
Reference 12
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.
Observation 20ce7f1f-0beb-454b-b575-b641a2ddf847 · outbound
Spectral generalized Tur\'{a}n problems Spectral extremal problems for hypergraphs
Reference 13
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.
Observation 14d8ff3b-d066-4df2-a271-2117f8d21279 · outbound
Spectral generalized Tur\'{a}n problems Unresolved cited work
Reference 14
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.
Observation ee1b9978-6ea7-4c8f-83af-9afc38ca8810 · outbound
Spectral generalized Tur\'{a}n problems On a hypergraph Mantel theorem
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e75282d7-ed67-401b-b7ef-727d6e4a7fd5 · outbound
Spectral generalized Tur\'{a}n problems A unified approach to hypergraph stability
Reference 16
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.
Observation d9555909-34c7-4fa9-b877-948f6e888841 · outbound
Spectral generalized Tur\'{a}n problems Pentagons in triangle-free graphs
Reference 17
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.
Observation b0746382-fee4-490a-aecf-a08d0be5efe9 · outbound
Spectral generalized Tur\'{a}n problems Unresolved cited work
Reference 18
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.
Observation 889e5e1f-bb46-49af-aabd-942e7d78479e · outbound
Spectral generalized Tur\'{a}n problems Bounds on graph eigenvalues
Reference 19
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.
Observation 2d3047f1-48bb-4e9d-adbc-d0a1a3aeadcb · outbound
Spectral generalized Tur\'{a}n problems The spectral radius of graphs without paths and cycles of specified length
Reference 20
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.
Observation ae792e77-c398-4e8b-a251-be51a02b59b1 · outbound
Spectral generalized Tur\'{a}n problems Analytic methods for uniform hypergraphs
Reference 21
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.
Observation 22e11eaf-0fbe-4367-b5ae-dfd944e2cf83 · outbound
Reference 22
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.
Observation 220da910-c9a0-4581-a503-7edbc2573c10 · outbound
Spectral generalized Tur\'{a}n problems Unresolved cited work
Reference 23
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.
Observation 0ea07e15-422f-4322-b0b5-5473d9f35ea9 · outbound
Spectral generalized Tur\'{a}n problems On an extermal problem in graph theory
Reference 24
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.
Observation de943424-ee0d-4478-b146-4e120dae5f8c · inbound
Generalized spectral Tur\'an problems for disjoint cliques Spectral generalized Tur\'{a}n problems
Reference 14
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.
Observation f4250280-ed0c-4f06-b32a-bc71d741fbad · inbound
The spectral inducibility of graphs Spectral generalized Tur\'{a}n problems
Reference 13
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.
Observation 86ee6f1a-5c19-48fc-9e7f-7e12eafb0d01 · inbound
Entropy methods in combinatorics Spectral generalized Tur\'{a}n problems
Reference 78
Source-reported events for the cited work
Unavailable: canonical work link unavailable.