Pith. sign in

Paper Citation Record · LEDGER

Spectral radius of graphs of given size with forbidden a fan graph $F_6$

As of 14 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2412.13792.

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

pith.paper-citation-record.v1
2412.13792 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:56:54.956801Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

22 of 22 outbound references displayed

  • verified exact1
  • verified fuzzy7
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation aa3a5a14-7564-42bc-a5c4-c9eed4a1c603 · outbound

This paper cites Bondy, U.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Bondy, U

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:56:55.309153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:56:54.854564Z digest=sha256:12f5e3eccd83e6fdc5070400178fb142fb05fc909f07225ae6d923b3db60f102

Observation fa4e2412-c1e9-4862-9d8a-087d773ee470 · outbound

This paper cites Brualdi, A.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Brualdi, A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:56:55.293787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:56:54.860439Z digest=sha256:5f2ca2d631747a7f17f9b4746b744654dccd9fb484fb04e5bda8e70f2534215b

Observation 702cd1ec-42c8-4460-ab81-d2a764eb0abd · outbound

This paper cites Cvetkovi´ c, P.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Cvetkovi´ c, P

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:56:55.279591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:56:54.865553Z digest=sha256:f2d9a147563e9104b8949269591709bae8f727d9bc0e3db809a69028f8b98600

Observation 7b5a0fc6-8b2a-4a6e-b8a3-bc4394bfbf31 · outbound

This paper cites an unresolved cited work.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:56:55.265244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:56:54.870549Z digest=sha256:1686e7d18c032f14851491a8eee8705942f6d94b52f25bee4b27ce3ea46e7ced

Observation 06a2eff2-1037-4fd3-8ff9-83cecf65a3b8 · outbound

This paper cites Spectral extrema of graphs with fixed size: forbidden a fan graph, friendship graph or theta graph.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Spectral extrema of graphs with fixed size: forbidden a fan graph, friendship graph or theta graph

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T12:56:54.876213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:56:54.876213Z digest=sha256:fc4fb1ae5046d4e5c010dc7ee4168642df3a8b57fc506f7de83d22f553ebe3b9

Observation 2b0bbc7e-d3a2-4ab9-beb6-7432d0cc905f · outbound

This paper cites an unresolved cited work.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:56:55.251195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:56:54.881496Z digest=sha256:e150e42d03f76fcf396d80366ec9cde6812c526866ffef7c800561276a8213d7

Observation 1291bc6d-7cbe-4ce5-90f5-a8a95f1cf3f1 · outbound

This paper cites an unresolved cited work.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:56:55.236152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:56:54.886260Z digest=sha256:a5e0dc5107cb02a117288620d90edf73856db00818c6b9739a7685f8ef81c0b9

Observation f079a56a-72bf-4a8f-b88f-d8cff4971d47 · outbound

This paper cites an unresolved cited work.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:56:55.220327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:56:54.891502Z digest=sha256:37f720c0be49f5e93cde1004d587e6ac4810cb4724848104f16785429a96e400

Observation 3916a7eb-a0b5-48e5-8678-b6876f087251 · outbound

This paper cites an unresolved cited work.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:56:55.205577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:56:54.896044Z digest=sha256:bc949db67bbc2af0614a4dcc7cbea175c8fe472c2d594ff563d1b306da799377

Observation 15d5fad3-68e4-46d0-bd8a-9ad4472aeeda · outbound

This paper cites an unresolved cited work.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:56:55.190210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:56:54.900634Z digest=sha256:045de5f5179905392cf7df9968498cade99b155ce66f427ea2ae95ebce92c041

Observation e8e09ecf-ef44-4b54-bfe9-55ba59347dca · outbound

This paper cites Nikiforov, Some inequalities for the largest eigenvalue of a gra ph, Combin.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Nikiforov, Some inequalities for the largest eigenvalue of a gra ph, Combin

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:56:55.174628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:56:54.905092Z digest=sha256:e113e79530ed7ba03adec55240738f12c2dd98ba917aa71c5660235631137349

Observation b6fe635b-8ea5-48a1-bece-6ffb29a4e195 · outbound

This paper cites Nikiforov, Walks and the spectral radius of graphs, Linear A lgebra Appl.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Nikiforov, Walks and the spectral radius of graphs, Linear A lgebra Appl

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:56:55.159768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:56:54.909721Z digest=sha256:0581027e9c93e2b44a1713bd89583d223d0a2f11cf38ae54436de0685c811beb

Observation 61cff803-5bfb-4feb-8a2e-ff91551e5f10 · outbound

This paper cites Nikiforov, The maximum spectral radius of C4-free graphs of given order and size, Linear Algebra Appl.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Nikiforov, The maximum spectral radius of C4-free graphs of given order and size, Linear Algebra Appl

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-11T12:56:54.914622Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:56:54.914622Z digest=sha256:e5d2bc22ae5aa529f8cae2316ae31dc02ca0533945340824f1e166269bb2b749

Observation 439341b8-ddc7-487c-a8a2-f49992795832 · outbound

This paper cites On a theorem of Nosal.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ On a theorem of Nosal

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-11T12:56:54.919326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:56:54.919326Z digest=sha256:dae8d87ec95b00ac8e83fa6d82c05c5935961a380b37f1168a993c9b147e7a82

Observation e6737d4e-15cb-4d0f-8b80-6eb2a4c7a581 · outbound

This paper cites Nosal, Eigenvalues of graphs, Master’s thesis, University of Calgary, 1970.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Nosal, Eigenvalues of graphs, Master’s thesis, University of Calgary, 1970

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-11T12:56:54.924169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:56:54.924169Z digest=sha256:e320df8b45e488febc04b08a1cd18698e1dfedc2254f8867ba99ec3d5daca981

Observation 4dd0a1e9-97ff-44d9-87ae-a1dcbeb06cff · outbound

This paper cites an unresolved cited work.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:56:55.124097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:56:54.928812Z digest=sha256:21f86875331d8d0d0fcd866d639206fa64e7d905e853104da14386f62b116786

Observation e9fc7739-3a5b-4c75-8d01-2245813c0c06 · outbound

This paper cites Wang, Generalizing theorems of Nosal and Nikiforov: Triangle s and quadrilaterals, Discrete Math.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Wang, Generalizing theorems of Nosal and Nikiforov: Triangle s and quadrilaterals, Discrete Math

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:56:55.108351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:56:54.933254Z digest=sha256:c1620c2a4f51fd01143199de762e62fd755b1b4bed05e86a5b4caa5db7f27e38

Observation 2793b29e-0fd1-4e07-8157-79adc26d1d61 · outbound

This paper cites an unresolved cited work.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:56:55.092544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:56:54.937730Z digest=sha256:dd0ef365f5b461de20d0b46c660457c889468e68da9206a650b2cb1571d6276b

Observation 8a816db5-81d6-427f-9f10-465c9c5dedbd · outbound

This paper cites Spectral extremal graphs for fan graphs.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Spectral extremal graphs for fan graphs

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:56:54.998740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:56:54.942492Z digest=sha256:d2da54817c25e8b4fd31acf658d6294c5ff571309fc9a53857ca50378a8c15e8

Observation d9d57ff2-e518-4aec-bc6d-b7544281acc1 · outbound

This paper cites an unresolved cited work.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:56:55.077347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:56:54.947502Z digest=sha256:184d42075490e0556b72f690c30ce4b27cc9c4f984554a4c3241062f33c42ec8

Observation 21844647-0e4b-49cc-b5b0-d674fd838a2c · outbound

This paper cites an unresolved cited work.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-11T12:56:54.952242Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:56:54.952242Z digest=sha256:a6de42655a34cf79527d0c61c3b095285573ebd7878275d845c676143383212d

Observation 55c9072d-a544-4f10-b89f-a1495f8d8c72 · outbound

This paper cites Zhang, L.

Spectral radius of graphs of given size with forbidden a fan graph $F_6$ Zhang, L

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:56:55.052492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:56:54.956801Z digest=sha256:38949e0731b935eecee0bc207f98f9e8b7d769ff0121ac973fcfd5a5ec1d348a

Pith citing papers

No inbound Pith citation observations are available.