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Paper Citation Record · LEDGER

Minimally $(k,k)$-edge-connected graphs via spectral radius

As of 15 July 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2605.21998.

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

pith.paper-citation-record.v1
2605.21998 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-22T02:29:35.503535Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-07-14T06:31:01.685423+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

28 of 28 outbound references displayed

  • verified exact0
  • verified fuzzy28
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6062ca30-4308-497d-804d-a7d60a0e02be · outbound

This paper cites Boesch, S.

Minimally $(k,k)$-edge-connected graphs via spectral radius Boesch, S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.758404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:959c6d97b684bb1e9d4ca54bbce16750a90b58a20db06a5ab39680ac7baa2526

Observation fd299d40-83ca-4774-b190-7b32e1d61397 · outbound

This paper cites Brualdi, A.

Minimally $(k,k)$-edge-connected graphs via spectral radius Brualdi, A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.764947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:9f26cfb099067e22beaf944e1faeb2d150b5a55fcfb0ea87c29216ed390b0d8c

Observation e90f1c2a-f9da-405d-93b2-273a2bfa71a4 · outbound

This paper cites Brualdi, E.S.

Minimally $(k,k)$-edge-connected graphs via spectral radius Brualdi, E.S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.755394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:a459a1d672db86ec124a1d04ce6763244b4f7b8a3d2ddd4647f337a392185d28

Observation 2be58fc3-ebff-4498-83c4-45f148103d90 · outbound

This paper cites Chandran, Minimum cuts, girth and spectral threshold,Inform.

Minimally $(k,k)$-edge-connected graphs via spectral radius Chandran, Minimum cuts, girth and spectral threshold,Inform

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.704921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:b52a9ce67c52459dd5aeaeb10ee6515deb9451abcdfd246c014db06910b026a6

Observation d56511c1-5236-4d3b-85d9-208010a13efd · outbound

This paper cites Chen, L.T.

Minimally $(k,k)$-edge-connected graphs via spectral radius Chen, L.T

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.752257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:feee14aa45ff95df55f73a2053670ca40070c5fc9657d755f0a3ec824b068737

Observation 03cdae18-689e-47cd-8f1e-0a64d3df4520 · outbound

This paper cites Cioab˘ a, Eigenvalues and edge-connectivity of regular graphs,Linear Algebra Appl.,432(2010) 458–470.

Minimally $(k,k)$-edge-connected graphs via spectral radius Cioab˘ a, Eigenvalues and edge-connectivity of regular graphs,Linear Algebra Appl.,432(2010) 458–470

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.683502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:827d0170d9532ba3d23d2faf26371c2673e37a756690365039b8aa2b8f41f4f7

Observation 8be5f97d-602e-4cd6-90a6-cfed536d14ab · outbound

This paper cites Cvetovi´ c, P.

Minimally $(k,k)$-edge-connected graphs via spectral radius Cvetovi´ c, P

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.707877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:46c4ac48620bef1047f90615c2afd419419a5ecb50a4d8e66195395deb104f47

Observation ba1fa353-27fc-45b5-9b28-914ed794bdad · outbound

This paper cites Fan, X.F.

Minimally $(k,k)$-edge-connected graphs via spectral radius Fan, X.F

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.745939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:390924a114c6a8e283384d57836a8e6f896e4e1c948962f75cd4339582152fc2

Observation 25a476d2-2022-48f9-9df5-4366c6e8d954 · outbound

This paper cites Fan, X.F.

Minimally $(k,k)$-edge-connected graphs via spectral radius Fan, X.F

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.697943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:11d8e511903d09f8745ecaf2b37ca2eae3ef008472978f5e4599b8e0d9b9abe7

Observation 4451e330-fb7a-46a3-999d-48b2fbbee8e6 · outbound

This paper cites Gu, H.-J.

Minimally $(k,k)$-edge-connected graphs via spectral radius Gu, H.-J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.739497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:934e54f5e7720ecd42db7f49e8475f31f8e9b7acf27cd2000d45c45e195d1ba4

Observation 156c14e8-9592-43c8-90e6-36bb9953c797 · outbound

This paper cites Hennayake, H.-J.

Minimally $(k,k)$-edge-connected graphs via spectral radius Hennayake, H.-J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.767889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:96586c790777be00ea1e839037a254913cbbe32318344a040bda2da107e21212

Observation 7b50162b-6a57-4db4-b986-1e8cfdc63d28 · outbound

This paper cites Hong, J.L.

Minimally $(k,k)$-edge-connected graphs via spectral radius Hong, J.L

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.701724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:eb450a9c8a4e9797aec17bb0a838174d90d1e08ee6b80829a86532f50a962e74

Observation fd0919a3-e21f-4bcb-a1aa-adaf01bb9961 · outbound

This paper cites Horn, C.R.

Minimally $(k,k)$-edge-connected graphs via spectral radius Horn, C.R

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.761510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:cea5a57076442de28da430313554fc31d0bb061b2f5998fce03a463da0e036e8

Observation 956aee98-b46f-42d4-a9ee-0b25e591800f · outbound

This paper cites an unresolved cited work.

Minimally $(k,k)$-edge-connected graphs via spectral radius Unresolved cited work

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.736280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:47ff447f87cce561151763036c81058b38f8f635db7848c885ffc11b31da9c31

Observation a6970cb2-3b27-4fe9-921f-2b6663a2dd8f · outbound

This paper cites Lou, C.X.

Minimally $(k,k)$-edge-connected graphs via spectral radius Lou, C.X

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.733225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:81805fa1ec5e4871a3c93050aee59277e5e4b8f860d5ed722519e7dff25bb11d

Observation b345bb7b-2d0b-4dc4-a987-fc81eab1c479 · outbound

This paper cites an unresolved cited work.

Minimally $(k,k)$-edge-connected graphs via spectral radius Unresolved cited work

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.686979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:a96b3df82cbb1bd95761220992cfca19fc57a3bf10f343ad592f9e4231158467

Observation a1fe2cc9-7b09-4d75-9b92-5087eec1bcb2 · outbound

This paper cites Mader, ¨Uber minimaln-fach zusammenhangende, unendliche Graphen und ein Extremal problem, Archiv.

Minimally $(k,k)$-edge-connected graphs via spectral radius Mader, ¨Uber minimaln-fach zusammenhangende, unendliche Graphen und ein Extremal problem, Archiv

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.749116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:77158f232af7024bac9e5c165d661102788994387f01ee9b896157a75b314ecc

Observation f8212afc-437e-4e4c-9e8d-005b8664a1e3 · outbound

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

Minimally $(k,k)$-edge-connected graphs via spectral radius Nikiforov, Some inequalities for the largest eigenvalue of a graph,Combin

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.730177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:917f760e972dd0b5fb50b061e5a153d9740d4b1b64e80585aeea12b27b407a84

Observation 2185df98-b0d0-4356-801a-87b9d454c688 · outbound

This paper cites an unresolved cited work.

Minimally $(k,k)$-edge-connected graphs via spectral radius Unresolved cited work

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.726546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:ceda6ad3fe29508356e7a1bf64328979d6dcb6a9b69c50649540706cc82617a7

Observation fc6a0263-da20-4c90-8356-24666c882cd8 · outbound

This paper cites Nosal, Eigenvalues of Graphs (Master s thesis), University of Calgary.

Minimally $(k,k)$-edge-connected graphs via spectral radius Nosal, Eigenvalues of Graphs (Master s thesis), University of Calgary

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.720615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:4c97bd094584d8bb2ba45f5df0f5e98dd5c9ff0337029d839dbf92641cb3f82a

Observation 1b271e84-bd49-413f-b16a-22e805d5f1b4 · outbound

This paper cites Oellermann, Explorations into graph connectivity,SAMS Notices,20(1988) 117–151.

Minimally $(k,k)$-edge-connected graphs via spectral radius Oellermann, Explorations into graph connectivity,SAMS Notices,20(1988) 117–151

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.771036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:f853aea1fea77ccdaaa969de97c07f7dd20bfa2dad9d37f19485eee02ca2fc8d

Observation 2bf1cc42-81d8-4744-a439-179aec0625b1 · outbound

This paper cites Stanley, A bound on the spectral radius of graphs witheedges,Linear Algebra Appl.,87(1987) 267–269.

Minimally $(k,k)$-edge-connected graphs via spectral radius Stanley, A bound on the spectral radius of graphs witheedges,Linear Algebra Appl.,87(1987) 267–269

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.717426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:2c28a4908bbe01de4dae4370e2a22fde400b2c9601ff2629c0a7d1c476996d59

Observation da081e82-3fa3-4142-a72d-915b3e5821fb · outbound

This paper cites Wang, J-M.

Minimally $(k,k)$-edge-connected graphs via spectral radius Wang, J-M

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.693687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:4b45d9d600edb1e6649e49d02e447cb67eb0f29e533fac5ab549321d897b4c6e

Observation 50589ef7-3d6a-4223-adac-6e9a0f615beb · outbound

This paper cites Wang, H.Q.

Minimally $(k,k)$-edge-connected graphs via spectral radius Wang, H.Q

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.713945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:9dfcdc5e0483b5d35a2cfcf34e1bb2c83342e88f2ad278542c2aafebe36923b0

Observation 7ccef498-4438-4bc1-890c-85ec6be20f66 · outbound

This paper cites an unresolved cited work.

Minimally $(k,k)$-edge-connected graphs via spectral radius Unresolved cited work

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.710851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:998dab8c099616cd967be00f76e03d26fb5e906523fc3388f36a4a7650134582

Observation 5a8e3ec9-5296-45b0-acf9-07ea6bab6555 · outbound

This paper cites Xue, R.F.

Minimally $(k,k)$-edge-connected graphs via spectral radius Xue, R.F

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.742702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:ced836e5004ac0a7c316ae62c1663c825bb87d2fc88452f5c46675f82f514e9b

Observation f01b4883-c335-4064-bd58-4615cffd9ed3 · outbound

This paper cites Zhai, H.Q.

Minimally $(k,k)$-edge-connected graphs via spectral radius Zhai, H.Q

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.723627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:ceb35c2f51518d5ac308b38f355624169ef91d1d0ada241917a06ab31e2afe50

Observation fb2b3e08-ba0e-45e6-bcfb-4ff82f3cf246 · outbound

This paper cites Zhai, H.Q.

Minimally $(k,k)$-edge-connected graphs via spectral radius Zhai, H.Q

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T02:30:56.690383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-14T06:31:01.685423+00:00.

source=pdf_text observed=2026-05-22T02:29:35.503535Z digest=sha256:1d647fc88962eec361b736c48481e5ed827441a46b5a6b93af7e3554d506ed2b

Pith citing papers

No inbound Pith citation observations are available.