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Paper Citation Record · LEDGER

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues

As of 24 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2411.12917.

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

pith.paper-citation-record.v1
2411.12917 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T17:16:19.023864Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:45:24.961351Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-10T21:45:25.011552Z

Reference resolution

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy15
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f905e131-e556-4291-864b-78250829a6bd · outbound

This paper cites Achievable multiplicity partitions in the inverse eigenvalue problem of a g raph.

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues Achievable multiplicity partitions in the inverse eigenvalue problem of a g raph

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:16:19.260609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T17:16:18.952618Z digest=sha256:55a3537b32cb317f4e28cba48b4ce515bce4d39f11e702e8b4626e1676d35170

Observation 344c4da4-6bc7-416b-965f-a61ac4c91ffe · outbound

This paper cites Cavers, Shaun Fallat, Karen Meagher, and Shahla Nasserasr.

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues Cavers, Shaun Fallat, Karen Meagher, and Shahla Nasserasr

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:16:19.249487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T17:16:18.958318Z digest=sha256:9a5e1a5f41e59ea994f2a8118a3dde8315de47abbf6a9b9288ad2ff510079e90

Observation f7b5a7fd-6f45-4953-a50a-48a8f149f299 · outbound

This paper cites an unresolved cited work.

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:16:19.237837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T17:16:18.962383Z digest=sha256:74b849ce77b2756bc676f53d0e0a0e97dfce2088d9d48e01e797f71f50050d69

Observation 56610c1c-3406-40f4-b537-02805de1ef55 · outbound

This paper cites Fallat, H.

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues Fallat, H

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:16:19.226665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T17:16:18.966699Z digest=sha256:1bf4241e2dcd987ab303d2bce324a4d6d0e947b9524eaff657c9df6a2f46e07b

Observation 024fc03a-9e3d-4494-9514-acfabd7bb931 · outbound

This paper cites Sparsity of graphs that allow tw o distinct eigenvalues.

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues Sparsity of graphs that allow tw o distinct eigenvalues

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:16:19.215439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T17:16:18.970940Z digest=sha256:a8f949b7f9965c1db12bd3254f114d9cc756b08cfedb86fa20e8c2c2643d4c75

Observation 10ac2626-0f72-4511-9f4f-b30ce99db991 · outbound

This paper cites Regular graphs of degree at most four that allow two distinct eigenv alues.

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues Regular graphs of degree at most four that allow two distinct eigenv alues

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:16:19.202392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T17:16:18.976086Z digest=sha256:eef8da228d32ee95ed1310c0c04887bdf6c0ee85f3fb786ce8ba5ad26fdad7e1

Observation 7b3da292-7e79-4f82-b3d0-988378c5e163 · outbound

This paper cites Tracy Hall, Leslie Hogben, Jephia n C.-H.

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues Tracy Hall, Leslie Hogben, Jephia n C.-H

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:16:19.190387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T17:16:18.981244Z digest=sha256:87cadd2604b5c8ff3c9ef1922e52da87f71032f63bec71570c601d21bf31c3d0

Observation 535cf805-8190-4d66-ab74-7f49d424bbbe · outbound

This paper cites Applica- tions of analysis to the determination of the minimum number of distinc t eigenvalues of a graph.

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues Applica- tions of analysis to the determination of the minimum number of distinc t eigenvalues of a graph

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:16:19.177658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T17:16:18.985504Z digest=sha256:fb4b182b25b41151a68a058d30aa600cf4363888c0815fe39b6d121dbc9d10e5

Observation 5e3a4a1d-5ca9-4a68-b163-9f2ec9f8971f · outbound

This paper cites John son, Margaret Lay, Terry D.

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues John son, Margaret Lay, Terry D

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:16:19.164142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T17:16:18.989320Z digest=sha256:dff0f4c8ce49e8c0fec810c0fb9c68d410f0aa0a226110be6ea1ca45a0c8aae9

Observation e513e0fb-8b4d-4347-9c50-5666537d0ec3 · outbound

This paper cites Spectral applications of v ertex-clique incidence matrices associated with a graph.

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues Spectral applications of v ertex-clique incidence matrices associated with a graph

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:16:19.151602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T17:16:18.993286Z digest=sha256:7c17cfc90c97b71971d83535498bdfa32e3c7ec6ba6725ae845c0fe60e0d7761

Observation 32d22fbc-571c-4dbf-9274-655672df0425 · outbound

This paper cites Hu nter, Bonnie Jacob, Andrew Klimas, and Sharon McCathern.

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues Hu nter, Bonnie Jacob, Andrew Klimas, and Sharon McCathern

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:16:19.138934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T17:16:18.997061Z digest=sha256:2e383abb734a8aaf1668febc0c42c9d409fe17284ed64ace5969399c9b273f65

Observation 1ba7bfaf-d45c-4b15-a401-36b5c3bc3ad5 · outbound

This paper cites Zero forcing sets and the minimum rank of graphs.

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues Zero forcing sets and the minimum rank of graphs

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:16:19.126619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T17:16:19.000760Z digest=sha256:0c52ce7c40b5af2fd01e9ccd53076cad539381a93e34126c5c35123d683772a2

Observation 47603b8b-6108-48ce-b5d1-d35aa23e24c8 · outbound

This paper cites an unresolved cited work.

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:16:19.114494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T17:16:19.004969Z digest=sha256:f297e91cf652ee1668067b538678401ff236232e6479ade1ac8ed6143d32c162

Observation f6f71239-80d4-4086-82eb-b1b577d5ab3e · outbound

This paper cites Lin, and Bryan L.

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues Lin, and Bryan L

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:16:19.102676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T17:16:19.008912Z digest=sha256:0d5624d23fd661b910dca19e99c7f76d4b9d6769cfe2fe24e51cf0d5b2788015

Observation 835a1de9-991e-4029-bca2-cc47940372b0 · outbound

This paper cites Horn and Charles R.

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues Horn and Charles R

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-12T17:16:19.012479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T17:16:19.012479Z digest=sha256:b31650be90a956700b706bf71a1484dc0c40210219a2fb24a09972cb169c2431

Observation d38957ca-f7d1-4d44-937b-2a8298f3d45f · outbound

This paper cites Levene, Polona Oblak, and Helena ˇSmigoc.

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues Levene, Polona Oblak, and Helena ˇSmigoc

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:16:19.083045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T17:16:19.016418Z digest=sha256:29ea180179892dd74cb4cf419f8c6ba002596921710ee8ee1cbcd0289f048496

Observation d26231c4-c1a4-4778-93c8-b2b5aebc2dc7 · outbound

This paper cites Levene, Polona Oblak, and Helena ˇSmigoc.

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues Levene, Polona Oblak, and Helena ˇSmigoc

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:16:19.070644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T17:16:19.020348Z digest=sha256:4cfdf560d02906b6555cc6affc299636a9dd187f40a76c19eb2a16b684503eee

Observation c23c700c-8192-4bc1-b655-bf6fb8f973e0 · outbound

This paper cites The strong spectral property for graphs.

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues The strong spectral property for graphs

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:16:19.058052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T17:16:19.023864Z digest=sha256:951747279b4ee147c623477bd90714a19efce2e28d4c4e8a3a0955f34f6c49b7

Pith citing papers

Observation ed0c0be8-c88d-40bc-bf52-4029baef771f · inbound

Two Distinct Eigenvalues from a New Graph Product cites this paper.

Two Distinct Eigenvalues from a New Graph Product Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-10T21:45:25.017826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:45:24.961351Z digest=sha256:939ae901c882411c87b3cf12c8c04563deeebf1c3f70be1df3758c3b22fa0549