Singular graphs with dihedral group action

AL-Tarimshawy, Ali Sltan Ali and Siemons, J. (2021) Singular graphs with dihedral group action. Discrete Mathematics, 344 (1). ISSN 0012-365X

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Abstract

Let Γ be a simple undirected graph on a finite vertex set and let A be its adjacency matrix. Then Γ is singular if A is singular. The problem of characterizing singular graphs is easy to state but very difficult to resolve in any generality. In this paper we investigate the singularity of graphs for which the dihedral group acts transitively on vertices as a group of automorphisms.

Item Type: Article
Uncontrolled Keywords: dihedral action,graph spectrum,singular graph,theoretical computer science,discrete mathematics and combinatorics ,/dk/atira/pure/subjectarea/asjc/2600/2614
Faculty \ School: Faculty of Science > School of Mathematics
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Depositing User: LivePure Connector
Date Deposited: 31 Oct 2020 01:08
Last Modified: 02 Jan 2021 00:54
URI: https://ueaeprints.uea.ac.uk/id/eprint/77487
DOI: 10.1016/j.disc.2020.112119

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