Question

Are two distance regular graphs with the same intersection array also cospectral for their Laplacian matrices?

score 99 · Answer 1 · 2026-03-27 22:03:54

99

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Are two distance regular graphs with the same intersection array also cospectral for their Laplacian matrices?

Published on 27 Mar 2026 - 22:03

score 76 · Answer 2 · 2020-08-29 20:34:34

76

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Triangular band matrices with entries $\pm 1$

Published on 29 Aug 2020 - 20:34

score 28 · Answer 3 · 2020-09-04 05:52:59

28

Views

Classifying vertex-transitive dihedral graphs

Published on 04 Sep 2020 - 5:52

score 54 · Answer 4 · 2020-09-18 21:00:15

54

Views

What is the formal method (map, transformation, ...) of the following exemplarly given tree into a binary tree?

Published on 18 Sep 2020 - 21:00

score 147 · Answer 5 · 2026-03-26 12:46:19

147

Views

Show that a Cayley digraph is strongly connected if and only if it is weakly connected.

Published on 26 Mar 2026 - 12:46

score 89 · Answer 6 · 2020-10-02 01:42:58

89

Views

How to tell if the product of two incidence (edges vs.vertices) matrices will be an incidence matrix

Published on 02 Oct 2020 - 1:42

score 44 · Answer 7 · 2020-10-04 18:34:11

44

Views

For a graph $X = (V,E)$ that if $\alpha \in \ker \partial$ then every $x \in V$ has the same number of edges coming in as going out.

Published on 04 Oct 2020 - 18:34

score 10.9k · Answer 8 · 2026-03-26 04:34:00

10.9k

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What does the value of eigenvectors of a graph Laplacian matrix mean?

Published on 26 Mar 2026 - 4:34

score 178 · Answer 9 · 2026-02-23 12:02:57

178

Views

Which algebraic real numbers are eigenvalues of a finite graph?

Published on 23 Feb 2026 - 12:02

score 277 · Answer 10 · 2020-10-23 07:54:32

277

Views

A complete bipartite graph is unique

Published on 23 Oct 2020 - 7:54

score 80 · Answer 11 · 2020-11-02 08:28:18

80

Views

On a passage from 'Graphs and Homomorphisms' concerning Reconstruction Conjecture

Published on 02 Nov 2020 - 8:28

score 77 · Answer 12 · 2026-03-30 07:07:41

77

Views

Does this graph join like operation have a known name? Any special algebraic property?

Published on 30 Mar 2026 - 7:07

score 72 · Answer 13 · 2020-11-07 11:44:09

72

Views

Simple eigenvalue of an edge-transitive k-regular graph

Published on 07 Nov 2020 - 11:44

score 123 · Answer 14 · 2020-11-08 11:39:10

123

Views

Core of the graph $G_1\cup G_2$, where $G_1$ and $G_2$ are disjoint unions of complete graphs, is a complete graph

Published on 08 Nov 2020 - 11:39

score 626 · Answer 15 · 2020-11-13 21:16:32

626

Views

submatrix of signed incidence matrix of a graph containing a cycle

Published on 13 Nov 2020 - 21:16

List Question

Are two distance regular graphs with the same intersection array also cospectral for their Laplacian matrices?

Triangular band matrices with entries $\pm 1$

Classifying vertex-transitive dihedral graphs

What is the formal method (map, transformation, ...) of the following exemplarly given tree into a binary tree?

Show that a Cayley digraph is strongly connected if and only if it is weakly connected.

How to tell if the product of two incidence (edges vs.vertices) matrices will be an incidence matrix

For a graph $X = (V,E)$ that if $\alpha \in \ker \partial$ then every $x \in V$ has the same number of edges coming in as going out.

What does the value of eigenvectors of a graph Laplacian matrix mean?

Which algebraic real numbers are eigenvalues of a finite graph?

A complete bipartite graph is unique

On a passage from 'Graphs and Homomorphisms' concerning Reconstruction Conjecture

Does this graph join like operation have a known name? Any special algebraic property?

Simple eigenvalue of an edge-transitive k-regular graph

Core of the graph $G_1\cup G_2$, where $G_1$ and $G_2$ are disjoint unions of complete graphs, is a complete graph

submatrix of signed incidence matrix of a graph containing a cycle

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