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Paper Citation Record · LEDGER

Sums of Laplacian eigenvalues and sums of degrees

As of 15 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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+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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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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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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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+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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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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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 2026-08-15T06:32:42.880941+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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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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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 2026-08-15T06:32:42.880941+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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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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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 2026-08-15T06:32:42.880941+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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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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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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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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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 2026-08-15T06:32:42.880941+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

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+00:00.

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

This paper cites an unresolved cited work.

Sums of Laplacian eigenvalues and sums of degrees Unresolved cited work

Reference 31

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+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

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+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

Resolution
unresolved
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 2026-08-15T06:32:42.880941+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

Resolution
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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T01:03:39.502731Z digest=sha256:54ffeb2b0534ed1cd035200a896f2cc5c6f12e4a24119b8f4c6e3707f9577ee0

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T01:03:39.565775Z digest=sha256:fe30092c472a4b94ec03527b5fe3acf8b3704ce8463416383cdbbce77c338580

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T01:03:39.659053Z digest=sha256:2d51ccc157d8e09570c82d5e56f7a143856615594bdc91c4081fd46a3e824e57

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T01:03:39.768778Z digest=sha256:3bfa9abd8146d084cd8c980caa258066a5246765cec5a43c7bb11595d502d27a

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T01:03:39.881883Z digest=sha256:8eb6af724a87c5623872418508ead8c11f1a2619042a174d8ac2917d138cfebf

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=sha256:8e95c4c034b64b98af352cdaa410db9b11c1785bcf7c7478ff98a95881201db0

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T01:03:40.094330Z digest=sha256:ffa5dae42bdb8ef1ff358678e32a654f9d85d7b30ea4dc8ce1e9550fa410b461

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T01:03:40.206673Z digest=sha256:4b6486221a0a9c92c10735651cb9dfc813ec620ba38556d8cc94812bf77a48e1

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T01:03:40.306496Z digest=sha256:4737780ac2183311e0e4b0e4afea373901deca6c6298aec2aff5c3d03a670e20

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T01:03:40.420104Z digest=sha256:dd224941216ba0311a145651925c51cd5d7cfa2950992606cc00d3c0ad8681d8

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T01:03:40.506880Z digest=sha256:c737d60d63b343211e7d7c61e22c97467d7bf8bacb18e2d6f111b8093a4835c7

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T01:03:40.607554Z digest=sha256:d165425b663fb4cdea1816a7280aecb75746c7bdf7bb9811d2a91926302b24b0

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T01:03:40.680531Z digest=sha256:06784d18891c5a37413702fbdd0f4dc57e86753a62b3606a1346353f35cf0bc4

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T01:03:40.775324Z digest=sha256:e5202e158b784daf36d3008975100bc6d917d9cad4550a7f83842ac86bde9113

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T01:03:40.851420Z digest=sha256:8911049516d45b752a14f14cf5e4906d8eae89eba5c163442d74dcbb2cbe039a

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T01:03:40.919132Z digest=sha256:4f9f6b2d8ce16c8aa1ace8b10ffbd2268b353ac2ee6759386d3093b287f51fed

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T01:03:41.009581Z digest=sha256:220129325f4070643a76eee380a223ba1a1b71982c4177a457310caf00fc28e2

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T01:03:41.114214Z digest=sha256:034eb1f074595b9f92c7c6d4a54dc2bf8934904ae81a135c1a37321d27fed0cf

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T01:03:41.221913Z digest=sha256:b1834468f992d8cc7291d2e1d9817ab496d0042840cf416d02deedcd41289c34

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T01:03:41.281259Z digest=sha256:d448243550ac8da63a75f3dd7d234c94b04810fa74d62033590232a934d4b75d

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T01:03:41.420335Z digest=sha256:8d6904a3a4527d66162ad7ce97dc412e1855fd149fcfd539f766439ffb342c53

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=sha256:0c393a7e622eff9b530bc013ce5a5e12f04c875ba4f51e7a4ce56f78ba9f99df

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-09T19:58:17.125188Z digest=sha256:b1b78798f676e0affd2649316b506cacd94a6c936f6237bd7a6b2b3cfeaa04e6

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T07:15:01.722124Z digest=sha256:2a8d9743a54539f5d4d4500c749c8591b22d65cba8d384ee0151358c91db6dbf

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=sha256:7d210af9307f38e193f07d570a5e2dc9526a981c2f1c6945a2dd66913e75238d

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=sha256:9a0e8c3fe128bc748519c82a2313fcdcfb928c307252c213e971e8ea7325383c