List questions from algebraic-graph-theory

Published on 22 Mar 2026 - 16:04

84

Views

Can i consider ($\emptyset, \infty, \emptyset$) to denote a null graph?

Published on 17 Mar 2026 - 6:28

107

Views

number of edges in infinite graph

Published on 17 Mar 2026 - 4:53

90

Views

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

Published on 17 Mar 2026 - 12:02

116

Views

Is the following fact for laplace matrix true? And how to prove it?

Published on 22 Mar 2026 - 14:05

105

Views

Automorphisms of cospectral k-regular graphs

Published on 17 Mar 2026 - 13:26

152

Views

Understanding Generalised Quadrangles

Published on 17 Mar 2026 - 0:31

127

Views

For any sets $X$ & $Y$ can the group of automorphisms for the digraph $G(X,Y)=(X\cup Y,X\times Y)$ be express in terms of symmetric groups?

Published on 17 Mar 2026 - 5:15

594

Views

Proof that bipartite graph has perfect matching if and only if zero sub-matrix is not included

Published on 17 Mar 2026 - 7:25

53

Views

Convergence of function with matrix as input

Published on 17 Mar 2026 - 8:08

187

Views

Reference to extended Frucht's theorem: $\operatorname{Aut}(\Gamma)=G_1$ and $\operatorname{Aut}(\Gamma-e)=G_2$

Published on 16 Mar 2026 - 20:59

253

Views

Regular graphs and eigenvectors

Published on 17 Mar 2026 - 12:32

110

Views

factorisations of vertex transitive graphs

Published on 17 Mar 2026 - 8:10

49

Views

Is there a linear algebraic invariant deciding whether a given graph is bipartite? (solved)

Published on 17 Mar 2026 - 8:02

131

Views

Does a Laplacian matrix characterize a Graph?

Published on 22 Mar 2026 - 23:07

List Question

Normalized Laplacian eigenvalues of a path graph

Can i consider ($\emptyset, \infty, \emptyset$) to denote a null graph?

number of edges in infinite graph

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

Is the following fact for laplace matrix true? And how to prove it?

Automorphisms of cospectral k-regular graphs

Understanding Generalised Quadrangles

For any sets $X$ & $Y$ can the group of automorphisms for the digraph $G(X,Y)=(X\cup Y,X\times Y)$ be express in terms of symmetric groups?

Proof that bipartite graph has perfect matching if and only if zero sub-matrix is not included

Convergence of function with matrix as input

Reference to extended Frucht's theorem: $\operatorname{Aut}(\Gamma)=G_1$ and $\operatorname{Aut}(\Gamma-e)=G_2$

Regular graphs and eigenvectors

factorisations of vertex transitive graphs

Is there a linear algebraic invariant deciding whether a given graph is bipartite? (solved)

Does a Laplacian matrix characterize a Graph?

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