Laplacian Spectrum of Non-Commuting Graphs of Finite Groups

Parama Dutta (), Jutirekha Dutta () and Rajat Kanti Nath ()
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Parama Dutta: Tezpur University
Jutirekha Dutta: Tezpur University
Rajat Kanti Nath: Tezpur University

Indian Journal of Pure and Applied Mathematics, 2018, vol. 49, issue 2, 205-216

Abstract: Abstract In this paper, we compute the Laplacian spectrum of non-commuting graphs of some classes of finite non-abelian groups. Our computations reveal that the non-commuting graphs of all the groups considered in this paper are L-integral. We also obtain some conditions on a group so that its non-commuting graph is L-integral.

Keywords: Non-commuting graph; spectrum; L-integral graph; finite group (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s13226-018-0263-x

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