Signed graphs with two eigenvalues and vertex degree five

Authors

DOI:

https://doi.org/10.26493/1855-3974.2329.97a

Keywords:

Regular signed graph, adjacency matrix, weighing matrix, bipartite double

Abstract

It is known that a signed graph with exactly 2 eigenvalues must be regular, and all those whose vertex degree does not exceed 4 are known. In this paper we characterize all signed graphs with 2 eigenvalues and vertex degree 5. We also determine all signed graphs with 2 eigenvalues and 12 or 13 vertices, which is a natural step since those with a fewer number of vertices are known.

Published

2022-05-17

Issue

Section

Articles