Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T15:42:41.019858Z
Paper Citation Record · LEDGER
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes
As of 16 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2607.20910.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
26 of 26 outbound references displayed
- verified exact3
- verified fuzzy13
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d7b0d276-581f-4576-b576-16b059edf057 · outbound
This paper cites Aharoni, E.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Aharoni, E
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:42:41.388574Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9b9158b9-d99a-4cb4-bf74-d40bbf4b2115 · outbound
This paper cites Bai, The Grone–Merris conjecture,Trans.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Bai, The Grone–Merris conjecture,Trans
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:42:41.375703Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 731b06fc-241b-4dc2-84df-33a8b7303850 · outbound
This paper cites an unresolved cited work.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:42:41.365710Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1a88e26f-75f3-4743-b8c2-82e6749674e1 · outbound
This paper cites an unresolved cited work.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:42:41.355185Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9ba4cd74-a9ad-4b15-9583-af2e8f33a584 · outbound
This paper cites an unresolved cited work.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:42:41.345088Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 64423287-7e9f-4852-94af-27beb7d7e5a3 · outbound
This paper cites Eckmann, Harmonische Funktionen und Randwertaufgaben in einem Komplex,Comment.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Eckmann, Harmonische Funktionen und Randwertaufgaben in einem Komplex,Comment
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:42:41.334649Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 84518108-df99-47d0-8a9a-c5d0fc0e2f40 · outbound
This paper cites Fan, On a theorem of Weyl concerning eigenvalues of linear transformations I,Proc.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Fan, On a theorem of Weyl concerning eigenvalues of linear transformations I,Proc
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:42:41.323581Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c020ba47-8fba-487d-a017-9f85fc1da1d2 · outbound
This paper cites Signless Laplacian spectral radius of simplicial complexes without holes.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Signless Laplacian spectral radius of simplicial complexes without holes
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:42:40.950270Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b3ce89e3-4187-487a-8792-883d8b33daa6 · outbound
This paper cites Fan, H.-F.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Fan, H.-F
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:42:41.313381Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 37fa2530-ea44-4244-a435-bb4915961731 · outbound
This paper cites Signless Laplacian Spectral Radius and Link Homology of Simplicial Complexes.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Signless Laplacian Spectral Radius and Link Homology of Simplicial Complexes
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T15:42:41.191634Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ce489949-6cbb-4b3e-a4b0-f351fce91836 · outbound
This paper cites Grone and R.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Grone and R
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:42:41.302857Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2a34b32e-a4ae-4bf5-b4d8-ee1f52438baa · outbound
This paper cites On the sum of the two largest eigenvalues of the curl-curl operator on graphs.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes On the sum of the two largest eigenvalues of the curl-curl operator on graphs
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T15:42:41.177814Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 608d4ca8-8baf-4e31-bd7c-b1260550f1c7 · outbound
This paper cites Horak and J.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Horak and J
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:42:41.292098Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9905239f-77e3-48ee-bc49-2da8efde5aa9 · outbound
This paper cites Horak and J.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Horak and J
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:42:41.282072Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 55c3b6cf-c7da-4ad5-a854-a12c2eecbce0 · outbound
This paper cites The Duval--Reiner Conjecture: Counterexamples and the Second Partial-Sum Inequality.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes The Duval--Reiner Conjecture: Counterexamples and the Second Partial-Sum Inequality
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T15:42:41.162684Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d8c34f61-4099-4ab0-9d59-974fb1c10b17 · outbound
This paper cites Kaufman and I.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Kaufman and I
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:42:41.271326Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2330915b-4b48-4c9e-a27e-8f8c073aa54d · outbound
This paper cites On Brouwer's Laplacian conjecture.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes On Brouwer's Laplacian conjecture
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:42:40.987461Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9775f9dc-d6a2-4089-873b-38a54c20fe00 · outbound
This paper cites Lew, Spectral gaps, missing faces and minimal degrees,J.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Lew, Spectral gaps, missing faces and minimal degrees,J
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:42:41.259375Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5443493a-4e2d-484e-a217-d65393acbdf1 · outbound
This paper cites Sums of Laplacian eigenvalues and sums of degrees.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Sums of Laplacian eigenvalues and sums of degrees
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:42:40.994871Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 632e33e7-ac0d-45a4-8812-d7719b645e19 · outbound
This paper cites Lew, The spectral gaps of generalized flag complexes and a geometric Hall-type theorem,Int.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Lew, The spectral gaps of generalized flag complexes and a geometric Hall-type theorem,Int
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:42:41.247835Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 650777c0-faf7-4bf9-9a0b-6e37eb1f28aa · outbound
This paper cites Lubotzky, Ramanujan complexes and high dimensional expanders,Japan.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Lubotzky, Ramanujan complexes and high dimensional expanders,Japan
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:42:41.234450Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 36ba52d5-59c4-4f72-ae4d-37dd06e059a8 · outbound
This paper cites She, Y.-Z.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes She, Y.-Z
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:42:41.005746Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 934ab135-da26-4ac3-996b-a840b3314add · outbound
This paper cites Song, H.-F.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Song, H.-F
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:42:41.222981Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 526c729b-d035-4ecf-b21d-1f1c3ee7f46b · outbound
This paper cites an unresolved cited work.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:42:41.212308Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 74361335-e0b0-4744-91c0-fa365a916ac6 · outbound
This paper cites Signless Laplacian spectral radius of simplicial complexes without $r$-dimensional wheels.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Signless Laplacian spectral radius of simplicial complexes without $r$-dimensional wheels
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:42:41.016102Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e72cc0f3-8d9d-46d1-99a2-f036631ba1f8 · outbound
This paper cites Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes.
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:42:41.019858Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.