Eigenvalues of Cayley graphs
type: Item
instance of: scholarly article
title: Eigenvalues of Cayley graphs
zbMATH Open document ID: 1492.05093
DOI: 10.37236/8569
author: Xiaogang Liu
author: Sanming Zhou
published in: The Electronic Journal of Combinatorics
publication date: 2022-05-12T00:00:00Z
full work available at URL: https://arxiv.org/abs/1809.09829
review text: This is a survey comprising the main results on eigenvalues of Cayley graphs, digraphs, distinct generalizations, and their applications. The text is divided into 14 chapters: Introduction; Eigenvalues of Cayley graphs; Integral Cayley graphs; Cospectral Cayley graphs; Cayley graphs on finite rings; Energies of Cayley graphs; Ramanujan Cayley graphs; Second largest eigenvalue of Cayley graphs; Perfect state transfer in Cayley graphs; Distance-regular Cayley graphs; Generalizations of Cayley graphs; Directed Cayley graphs; Miscellaneous; Open problems and research topics. The bibliography is quite interesting and contains 394 references.
Mathematics Subject Classification ID: 05C50
Mathematics Subject Classification ID: 05C25
zbMATH DE Number: 7525876
zbMATH Keywords: Cayley Graphs
zbMATH Keywords: eigenvalues
reviewed by: C. M.da Fonseca
describes a project that uses: GAP
MaRDI profile type: Publication
arXiv ID: 1809.09829
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