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Paper Citation Record · LEDGER

Sums of Laplacian eigenvalues and sums of degrees

As of 9 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 6 inbound Pith citation observations for arXiv:2508.04209.

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

pith.paper-citation-record.v1
2508.04209 v1

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T01:03:41.420335Z

measured 63 of 63 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T22:15:34.621390Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T07:16:52.875015Z

Reference resolution

57 of 57 outbound references displayed

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External citation measurements

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Outbound references

Observation 6a51a3bd-c2c7-4f39-a893-638630177d07 · outbound

This paper cites A Conjectural Brouwer Inequality for Higher-Dimensional Laplacian Spectra.

Sums of Laplacian eigenvalues and sums of degrees A Conjectural Brouwer Inequality for Higher-Dimensional Laplacian Spectra

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 4360e865-87fd-489e-895d-23c2f0eca00c · outbound

This paper cites Abebe and J.

Sums of Laplacian eigenvalues and sums of degrees Abebe and J

Reference 2

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 5ee8e6df-cae7-4e41-8234-1e8156345619 · outbound

This paper cites Aharoni, E.

Sums of Laplacian eigenvalues and sums of degrees Aharoni, E

Reference 3

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Observation 3dd00c52-0422-455e-bf71-f64edd887c35 · outbound

This paper cites Alon and V.

Sums of Laplacian eigenvalues and sums of degrees Alon and V

Reference 4

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Observation 5f1f6228-8c08-4028-bee3-2e79e80a4460 · outbound

This paper cites Anari, K.

Sums of Laplacian eigenvalues and sums of degrees Anari, K

Reference 5

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 36833e22-a108-4a2f-97d1-593030bc4204 · outbound

This paper cites an unresolved cited work.

Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 6

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 5a57a991-4abb-4f04-8405-f0b22a288ef9 · outbound

This paper cites Ashraf, G.

Sums of Laplacian eigenvalues and sums of degrees Ashraf, G

Reference 7

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Observation b2485646-93fc-46d1-91d3-dd7ed76d24d1 · outbound

This paper cites Bai, The Grone-Merris conjecture , Trans.

Sums of Laplacian eigenvalues and sums of degrees Bai, The Grone-Merris conjecture , Trans

Reference 8

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation be4f92bb-6e36-42c0-a233-1bcfee86c5d2 · outbound

This paper cites Ballmann and J.

Sums of Laplacian eigenvalues and sums of degrees Ballmann and J

Reference 9

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Observation 74c7f1a8-119f-454f-87b7-9556f95b2bf7 · outbound

This paper cites Berndsen, Three problems in algebraic combinatorics , Master’s Thesis, Eindhoven University of Technology, 2010.

Sums of Laplacian eigenvalues and sums of degrees Berndsen, Three problems in algebraic combinatorics , Master’s Thesis, Eindhoven University of Technology, 2010

Reference 10

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Observation 2c9c5e4a-cd50-41a2-806f-fa0112fb179a · outbound

This paper cites Bollob´ as,Modern graph theory, Graduate Texts in Mathematics, vol.

Sums of Laplacian eigenvalues and sums of degrees Bollob´ as,Modern graph theory, Graduate Texts in Mathematics, vol

Reference 11

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Observation 8537604a-8225-43f6-8038-1cb9726b0822 · outbound

This paper cites an unresolved cited work.

Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 12

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Observation 3f16767c-d915-46bf-8f8b-b99b61274865 · outbound

This paper cites an unresolved cited work.

Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 13

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 47ea37de-2374-4ec3-b554-a7c725ad51a2 · outbound

This paper cites Caputo, T.

Sums of Laplacian eigenvalues and sums of degrees Caputo, T

Reference 14

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Observation 0f4f3063-89fe-4ebb-a1d0-bf7d7cfaa735 · outbound

This paper cites Chen, On Brouwer’s conjecture for the sum of k largest Laplacian eigenvalues of graphs, Linear Algebra Appl.

Sums of Laplacian eigenvalues and sums of degrees Chen, On Brouwer’s conjecture for the sum of k largest Laplacian eigenvalues of graphs, Linear Algebra Appl

Reference 15

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Observation ac6013c7-1ece-4932-96df-133ab4ef55d7 · outbound

This paper cites an unresolved cited work.

Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 16

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Observation 5e0790f1-8188-453b-88f3-e04993041654 · outbound

This paper cites an unresolved cited work.

Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 17

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 5d99a898-280b-4536-a47c-b35841170d17 · outbound

This paper cites More on the full Brouwer Laplacian spectrum conjecture.

Sums of Laplacian eigenvalues and sums of degrees More on the full Brouwer Laplacian spectrum conjecture

Reference 18

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 8fada80b-0b1d-4145-9f6a-55190a1c4d12 · outbound

This paper cites an unresolved cited work.

Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 19

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Observation c733c11c-86f1-4ea9-b0f1-2dd13d7f61cf · outbound

This paper cites Du and B.

Sums of Laplacian eigenvalues and sums of degrees Du and B

Reference 20

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Observation b235be92-e2c2-4f1a-b773-2e0102d1f78f · outbound

This paper cites an unresolved cited work.

Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 21

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 9de38541-018b-4c8a-b64f-1d448d8ad739 · outbound

This paper cites an unresolved cited work.

Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 22

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Observation 2ade8df5-8a12-4473-9402-2d08caa4dbe8 · outbound

This paper cites Eckmann, Harmonische Funktionen und Randwertaufgaben in einem Komplex , Comment.

Sums of Laplacian eigenvalues and sums of degrees Eckmann, Harmonische Funktionen und Randwertaufgaben in einem Komplex , Comment

Reference 23

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Observation 624a50bf-e275-44e1-92f8-be687fc5c92d · outbound

This paper cites Fan, H.-F.

Sums of Laplacian eigenvalues and sums of degrees Fan, H.-F

Reference 24

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Observation 5a8a9390-4055-47e6-8bcc-e5b681cf9a4c · outbound

This paper cites Fiedler, Algebraic connectivity of graphs , Czechoslovak Math.

Sums of Laplacian eigenvalues and sums of degrees Fiedler, Algebraic connectivity of graphs , Czechoslovak Math

Reference 25

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Observation 40415a65-894f-48b9-b15f-dd82b766c51c · outbound

This paper cites Fritscher, C.

Sums of Laplacian eigenvalues and sums of degrees Fritscher, C

Reference 26

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Observation 72ac6525-567d-40f7-b034-39226ba603e3 · outbound

This paper cites an unresolved cited work.

Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 27

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 76943110-3bfc-4493-9b77-0bc8d4d67a67 · outbound

This paper cites Garland, p-adic curvature and the cohomology of discrete subgroups of p-adic groups, Ann.

Sums of Laplacian eigenvalues and sums of degrees Garland, p-adic curvature and the cohomology of discrete subgroups of p-adic groups, Ann

Reference 28

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Observation 05c199cd-1e28-4301-a133-25266f124e58 · outbound

This paper cites Grone and R.

Sums of Laplacian eigenvalues and sums of degrees Grone and R

Reference 29

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation b791a583-6fc9-4902-be18-7f315c963ffb · outbound

This paper cites an unresolved cited work.

Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 30

Resolution
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 34653aba-d960-4d5c-8c77-fe4396ba1718 · outbound

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Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 31

Resolution
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation a740c018-44d5-4b8a-8453-62f74988a493 · outbound

This paper cites an unresolved cited work.

Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 32

Resolution
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 4e724292-8f45-45f9-9cd1-19673fe18a8d · outbound

This paper cites an unresolved cited work.

Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 33

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 9b1c78d9-3249-4459-827a-2a271c6808ae · outbound

This paper cites Helmberg and V.

Sums of Laplacian eigenvalues and sums of degrees Helmberg and V

Reference 34

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 7a60631c-a773-4318-842f-f53002ee5dab · outbound

This paper cites Horak and J.

Sums of Laplacian eigenvalues and sums of degrees Horak and J

Reference 35

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 47c04f50-54d5-4f38-8230-f5c46e39c093 · outbound

This paper cites an unresolved cited work.

Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 36

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raw_fallback, observed 2026-08-06T01:03:45.593091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 04f7f273-0477-43ca-930f-e14e55bc02f5 · outbound

This paper cites Kahle, Sharp vanishing thresholds for cohomology of random flag complexes , Ann.

Sums of Laplacian eigenvalues and sums of degrees Kahle, Sharp vanishing thresholds for cohomology of random flag complexes , Ann

Reference 37

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verified fuzzy
raw_fallback, observed 2026-08-06T01:03:45.439370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T01:03:39.502731Z digest=sha256:b0a577333d1d909b1f3c3449c958cf08ebd34ef326fe38ac7c9e39370e4521c1

Observation df985b07-7c18-42a7-9ab0-690cf9721d26 · outbound

This paper cites Kalai, Enumeration of Q-acyclic simplicial complexes , Israel J.

Sums of Laplacian eigenvalues and sums of degrees Kalai, Enumeration of Q-acyclic simplicial complexes , Israel J

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:03:45.255373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T01:03:39.565775Z digest=sha256:62e3cdc9e8f94269976dc52fe7dc58424e45fe5ea2a3cc486426f8e4e1caa330

Observation ce152840-063d-47b3-9ef6-9ef3dc76be98 · outbound

This paper cites The Grone Merris Conjecture and a quadratic eigenvalue problem.

Sums of Laplacian eigenvalues and sums of degrees The Grone Merris Conjecture and a quadratic eigenvalue problem

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-08-06T01:03:41.680320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T01:03:39.659053Z digest=sha256:ecfdcb3226a949415e8e48e08513b2b5d3a80fb8c20f2a47cd1fc77c4a6d8fcb

Observation 44755fc8-ec11-4882-9a74-ed585cbfeaaf · outbound

This paper cites an unresolved cited work.

Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-06T01:03:45.055402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T01:03:39.768778Z digest=sha256:056c6e0883aa7db97559461c14b6ef2621a0b898225a146540f6baa007847349

Observation 8034c516-7c04-49af-b563-44f5a3cb8faa · outbound

This paper cites an unresolved cited work.

Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-06T01:03:44.878435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T01:03:39.881883Z digest=sha256:70a2ac3125386b56b7713be19708da4059083b8c2f1c6ea897a373cf4441e140

Observation af3f8a04-f36d-472c-97e3-88413041297c · outbound

This paper cites Partition density, star arboricity, and sums of Laplacian eigenvalues of graphs.

Sums of Laplacian eigenvalues and sums of degrees Partition density, star arboricity, and sums of Laplacian eigenvalues of graphs

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-06T01:03:40.003356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T01:03:40.003356Z digest=sha256:967b5348245833b3a64c5f22fa7826194eeb0267ea9c3323ad2f4d262d17cd17

Observation b09cc373-116f-4b5f-9a6c-52bceb1d7181 · outbound

This paper cites Li and Y.-L.

Sums of Laplacian eigenvalues and sums of degrees Li and Y.-L

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:03:44.744067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T01:03:40.094330Z digest=sha256:6b68d2cff128b73652ac4999e3b4fc5392354cae6517b599d4a0e07b68336f76

Observation 8544b182-6c39-4452-9a36-249fc3e5bfe6 · outbound

This paper cites Li and X.-D.

Sums of Laplacian eigenvalues and sums of degrees Li and X.-D

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:03:44.586847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T01:03:40.206673Z digest=sha256:d5b90f5217f362557c5f689b367b2640ecc87992967a5c8c7e4352b92d9c5345

Observation 613096a5-e9cf-4427-83c3-1a05e2d31da0 · outbound

This paper cites Li and J.-M.

Sums of Laplacian eigenvalues and sums of degrees Li and J.-M

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:03:44.414095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T01:03:40.306496Z digest=sha256:caf4b77d3c2527bd6a1172fb7a8f04f30c8a9ad4d7a0df2df87c5a0d6097caf6

Observation 5cf1e28f-a534-4bb0-90d4-45402876c856 · outbound

This paper cites an unresolved cited work.

Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-06T01:03:44.217550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T01:03:40.420104Z digest=sha256:c3365be777e6496f59d5c23b6229f6f59f36fe6df13e58002dc9ffacabaa6f1e

Observation 0e06424a-cf8c-4a1c-8383-18a1c0498be2 · outbound

This paper cites an unresolved cited work.

Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-06T01:03:44.066943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T01:03:40.506880Z digest=sha256:acd8a0cee32867df585e638be8bb9d2ebf672858cbcbe36e7b83f0f816dd201a

Observation fa3a6dd0-84b0-4701-9d1c-cd6a6b6b42c2 · outbound

This paper cites Merris, Laplacian matrices of graphs: a survey , Linear Algebra Appl.

Sums of Laplacian eigenvalues and sums of degrees Merris, Laplacian matrices of graphs: a survey , Linear Algebra Appl

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:03:43.914320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T01:03:40.607554Z digest=sha256:75372be00c0c7e6cdf8a3a06eefd2d6bbfa1aa20b47a4a213c3b7eb0afcd4a8b

Observation bcc25961-5f86-42dd-84e9-d9985db231c6 · outbound

This paper cites Mohar, Isoperimetric numbers of graphs, J.

Sums of Laplacian eigenvalues and sums of degrees Mohar, Isoperimetric numbers of graphs, J

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:03:43.631804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T01:03:40.680531Z digest=sha256:361e6f0d95e4bfb042f479a4b7acbdf63c78d7331cf106c36c6ecd0e29b08eeb

Observation 60d3abdd-3eca-4158-939d-501cca550009 · outbound

This paper cites Oppenheim, Local spectral expansion approach to high dimensional expanders Part I: Descent of spectral gaps, Discrete Comput.

Sums of Laplacian eigenvalues and sums of degrees Oppenheim, Local spectral expansion approach to high dimensional expanders Part I: Descent of spectral gaps, Discrete Comput

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:03:43.360562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T01:03:40.775324Z digest=sha256:44f6b9cc04f6c8adbd0f5daf801aeba0fb50d87532f8932e75aa2596f3007c1e

Observation 36de5a16-997c-4e97-ad80-5794ae490ca4 · outbound

This paper cites Pirzada, R.

Sums of Laplacian eigenvalues and sums of degrees Pirzada, R

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:03:43.122304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T01:03:40.851420Z digest=sha256:9aad6086395aeeeed0362dc083ed7956be6c9df20274e02115224610acc45454

Observation ae2fdba6-bf14-4c56-9ac8-c305a3e886bf · outbound

This paper cites Rocha, Brouwer’s conjecture holds asymptotically almost surely , Linear Algebra Appl.

Sums of Laplacian eigenvalues and sums of degrees Rocha, Brouwer’s conjecture holds asymptotically almost surely , Linear Algebra Appl

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:03:42.842947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T01:03:40.919132Z digest=sha256:641a40e481f4031593dfbadca994cc40e283d527f83ae5d20a5b68ae180c3d87

Observation d2286019-20c5-4952-b32a-4f2f305b103b · outbound

This paper cites an unresolved cited work.

Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-06T01:03:42.606969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T01:03:41.009581Z digest=sha256:5971b6f713bd46564d2eb50ea95595b2070914e317bb4dfd831d507bd0e649f2

Observation 2bf92cf1-1373-439a-801b-48ac81670277 · outbound

This paper cites an unresolved cited work.

Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-06T01:03:42.457268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T01:03:41.114214Z digest=sha256:00ac410f9eab9deaed3338c8a8153b092d69afa1569f0079913b8438ff8899c7

Observation f35129c3-d596-48c8-b808-9850a9172bd2 · outbound

This paper cites Yang and L.

Sums of Laplacian eigenvalues and sums of degrees Yang and L

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:03:42.251760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T01:03:41.221913Z digest=sha256:1cbde113107363607e2593753e8682ca3e3465de63659a305d5dc59ebef1061a

Observation 11a681c7-aac9-415e-8ab1-e6fab45b57a4 · outbound

This paper cites Zhou, C.-X.

Sums of Laplacian eigenvalues and sums of degrees Zhou, C.-X

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:03:42.009059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T01:03:41.281259Z digest=sha256:baed5bb75c031d5a8e5ffd69a71f3cfa2b84f628c389800f87eccbc23f6ab56a

Observation 105dcd09-d3c0-4a9d-9e81-b335b503b36f · outbound

This paper cites ˙Zuk, La propri´ et´ e (T) de Kazhdan pour les groupes agissant sur les poly` edres, C.

Sums of Laplacian eigenvalues and sums of degrees ˙Zuk, La propri´ et´ e (T) de Kazhdan pour les groupes agissant sur les poly` edres, C

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:03:41.876488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T01:03:41.420335Z digest=sha256:92b165ca8b08e13401ef13127993a814a8fb9cfd4cdfcf20d7daf0be28c944ad

Pith citing papers

Observation ea18151f-804b-4fb4-9509-6008cfa542e3 · inbound

Remarks on the Brouwer Conjecture cites this paper.

Remarks on the Brouwer Conjecture Sums of Laplacian eigenvalues and sums of degrees

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-05T22:15:34.621390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:15:34.621390Z digest=sha256:71fc1dcf718f42a5a663974fee2439e2693f75faf05f786dc0e89cacde7296cd

Observation b5b7439f-220a-43d7-b2d8-3eab6160f97a · inbound

A Matching-Number Refinement of Brouwer's Laplacian Eigenvalue Inequality cites this paper.

A Matching-Number Refinement of Brouwer's Laplacian Eigenvalue Inequality Sums of Laplacian eigenvalues and sums of degrees

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-07-09T20:16:29.585047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T19:58:17.125188Z digest=sha256:d6e696e0d3de831a871ab50cbf2b46cfada191d83367b5460ef5aa7ccc41eec9

Observation 589d475f-bddd-4331-934f-7ab8c14ac6ff · inbound

Proofs of two conjectures on generalizations of Brouwer's Laplacian conjecture cites this paper.

Proofs of two conjectures on generalizations of Brouwer's Laplacian conjecture Sums of Laplacian eigenvalues and sums of degrees

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-07-10T07:16:52.877802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T07:15:01.722124Z digest=sha256:a390c94e175b4d2fb0b29a69fb349eb1c4c0c90e7a64e4fdf93647a86da5504a

Observation 04d70e58-f487-48f2-aa39-c299867a98a1 · inbound

Proofs of two conjectures on generalizations of Brouwer's Laplacian conjecture cites this paper.

Proofs of two conjectures on generalizations of Brouwer's Laplacian conjecture Sums of Laplacian eigenvalues and sums of degrees

Reference 17

Resolution
unresolved
no resolver link, observed 2026-07-14T15:33:15.240468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T15:33:15.240468Z digest=sha256:062c0989835d73685196f12fb3169cf9151574a04cf4dce99832a633bd404ba4

Observation e61bf069-fc4a-436a-a297-dbdeefd4a6af · inbound

Characterizing the equality case in Brouwer's inequality for Laplacian eigenvalues cites this paper.

Characterizing the equality case in Brouwer's inequality for Laplacian eigenvalues Sums of Laplacian eigenvalues and sums of degrees

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-01T18:35:00.733449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:35:00.733449Z digest=sha256:f18e6dace240419e1699c67dbf32577814984815768ac408b0d37e6079082ab2

Observation 63701420-f70d-4224-be08-f5f3a052f4cc · inbound

The Duval--Reiner Conjecture: Counterexamples and the Second Partial-Sum Inequality cites this paper.

The Duval--Reiner Conjecture: Counterexamples and the Second Partial-Sum Inequality Sums of Laplacian eigenvalues and sums of degrees

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-01T10:59:33.303022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:59:33.303022Z digest=sha256:ad996a584c8b99c538d97198261bcf0738e0f02e937ae7ac0eb84be482338334