Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T10:20:31.399500Z
Paper Citation Record · LEDGER
Cubic graphs with no eigenvalues in the interval (-2,0)
As of 8 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 1 inbound Pith citation observation for arXiv:2506.05861.
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 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-16T17:56:03.340204Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-16T17:58:12.911816Z
Reference resolution
9 of 9 outbound references displayed
- verified exact0
- verified fuzzy7
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 2e2a2761-668a-46d7-bce1-2472272b4dfd · outbound
This paper cites Line graphs, root systems, and elliptic geometry.Journal of Algebra, 43(1):305–327, 1976.
Cubic graphs with no eigenvalues in the interval (-2,0) Line graphs, root systems, and elliptic geometry.Journal of Algebra, 43(1):305–327, 1976
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:20:33.020390Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7b759754-f985-4817-9ab5-153efa022797 · outbound
This paper cites Cubic Ramanujan graphs.Combinatorica, 12(3):275–285, 1992.
Cubic graphs with no eigenvalues in the interval (-2,0) Cubic Ramanujan graphs.Combinatorica, 12(3):275–285, 1992
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:20:32.784022Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a340154b-3b52-4d4a-88ea-49af6179bcaa · outbound
This paper cites Fowler and Tomaˇ z Pisanski.
Cubic graphs with no eigenvalues in the interval (-2,0) Fowler and Tomaˇ z Pisanski
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:20:32.574070Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d1ca6509-e5a4-4275-894e-d733f927d628 · outbound
This paper cites On the corona of two graphs.Aequationes Math., 4:322–325, 1970.
Cubic graphs with no eigenvalues in the interval (-2,0) On the corona of two graphs.Aequationes Math., 4:322–325, 1970
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:20:32.347261Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation dc652ad0-f6e3-4b25-a973-58e399478285 · outbound
This paper cites Large regular bipartite graphs with median eigenvalue 1.Linear Algebra Appl., 449:68–75, 2014.
Cubic graphs with no eigenvalues in the interval (-2,0) Large regular bipartite graphs with median eigenvalue 1.Linear Algebra Appl., 449:68–75, 2014
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:20:32.148709Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a0fc042d-01d9-4525-9c54-1121b940b37a · outbound
This paper cites an unresolved cited work.
Cubic graphs with no eigenvalues in the interval (-2,0) Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:20:31.984778Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 11302246-e711-4806-a6cf-20bc263bdca7 · outbound
This paper cites Expander graphs and their applica- tions.Bulletin of the American Mathematical Society, 43(4):439–561, 2006.
Cubic graphs with no eigenvalues in the interval (-2,0) Expander graphs and their applica- tions.Bulletin of the American Mathematical Society, 43(4):439–561, 2006
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:20:31.835892Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 31e787a0-022d-4780-a52e-ecd7cd1c1267 · outbound
This paper cites Gap sets for the spectra of cubic graphs.Communications of the American Mathematical Society, 1(1):1–38, 2021.
Cubic graphs with no eigenvalues in the interval (-2,0) Gap sets for the spectra of cubic graphs.Communications of the American Mathematical Society, 1(1):1–38, 2021
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:20:31.706484Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bb018124-a87a-4ea7-afd1-7d1827385873 · outbound
This paper cites an unresolved cited work.
Cubic graphs with no eigenvalues in the interval (-2,0) Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:20:31.557641Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Pith citing papers
Observation 4f528b5c-4f77-41cd-a51d-6cbb48ea38ea · inbound
Subcubic graphs without eigenvalues in $(-1, 1)$ cites this paper.
Subcubic graphs without eigenvalues in $(-1, 1)$ Cubic graphs with no eigenvalues in the interval (-2,0)
Reference 6
- Resolution
- verified exact
- arxiv_id, observed 2026-05-16T17:58:12.914202Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.