Laplacian Spectrum of non-commuting graphs of finite groups

Parama Dutta; Jutirekha Dutta; Rajat Kanti Nath

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arXiv · 1705.01275

Laplacian Spectrum of non-commuting graphs of finite groups

Parama Dutta·Jutirekha Dutta·Rajat Kanti Nath

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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 $G$ so that its non-commuting graph is L-integral.

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Parama Dutta, Jutirekha Dutta, Rajat Kanti Nath. 2017-05-03. Laplacian Spectrum of non-commuting graphs of finite groups. https://arxiv.org/abs/1705.01275

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