Ramanujan Cayley graphs of some sporadic and linear groups

Authors

  • Reza Safakish Buali Sina University

Keywords:

sporadic group, character table, Cayley graph, eigenvalue.

Abstract

Let Γ be a k-regular graph with the second maximum eigenvalue λ. Then Γ is a Ramanujan graph if λ ≤ 2 √ k − 1. Let G be a finite group and Γ = Cay(G, S) be a Cayley graph related to G. The aim of this paper is to investigate the Ramanujan Cayley graphs of sporadic groups.

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Published

2024-04-15

Issue

Vol. 18

Section

Vol. 18, No. 1, (2024)

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