List questions from spectral-graph-theory

Published on 20 Mar 2026 - 21:08

889

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Diagonally dominant matrix by rows and/or by columns

Published on 23 Mar 2026 - 1:28

84

Views

Shape of the graph spectrum

Published on 23 Mar 2026 - 5:09

58

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Let $G$ be a planar graph with $n$ vertices, then $\lambda_1(G) \leq −3 \lambda_n(G)$.

Published on 23 Mar 2026 - 10:43

150

Views

How can one construct a directed expander graph with varying degree distributions (not d-regular)?

Published on 23 Mar 2026 - 0:40

201

Views

book recommendation: differential equations on networks

Published on 22 Mar 2026 - 16:15

2.2k

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Do isomorphic graphs have same values for adjacency matrices and spectrum?

Published on 22 Mar 2026 - 22:52

763

Views

Normalized Laplacian eigenvalues of a path graph

Published on 22 Mar 2026 - 16:04

109

Views

Equitable partitions in the undirected graph

Published on 22 Mar 2026 - 11:48

237

Views

Approximate discrete Laplacian with continuous Laplacian

Published on 23 Mar 2026 - 11:31

431

Views

Spectrum of cocktail party graph?

Published on 23 Mar 2026 - 2:09

172

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Edge-to-edge incidence structure of a graph

Published on 20 Mar 2026 - 1:30

93

Views

A problem about incidence graph of Projective plane?

Published on 24 Mar 2026 - 23:44

90

Views

2-fold covers of graphs, their spectrum and the matching polynomial

Published on 17 Mar 2026 - 12:02

78

Views

Counting $3$-cycles in the Cartesian product of wheel and star graphs

Published on 25 Mar 2026 - 1:20

List Question

Is a stable Metzler matrix minus a Metzler matrix with zero along diagonal also stable?

Diagonally dominant matrix by rows and/or by columns

Shape of the graph spectrum

Let $G$ be a planar graph with $n$ vertices, then $\lambda_1(G) \leq −3 \lambda_n(G)$.

How can one construct a directed expander graph with varying degree distributions (not d-regular)?

book recommendation: differential equations on networks

Do isomorphic graphs have same values for adjacency matrices and spectrum?

Normalized Laplacian eigenvalues of a path graph

Equitable partitions in the undirected graph

Approximate discrete Laplacian with continuous Laplacian

Spectrum of cocktail party graph?

Edge-to-edge incidence structure of a graph

A problem about incidence graph of Projective plane?

2-fold covers of graphs, their spectrum and the matching polynomial

Counting $3$-cycles in the Cartesian product of wheel and star graphs

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