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arXiv · 1902.00690

The energy and spectrum of non commuting graph

Sayyed Heidar Jafari·Maryam Nasiri
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Abstract

Let G be a non-abelian group and Z(G) be the center of G. The non-commuting graph Γ(G) of G is a graph with vertex set is non central elements of G and two vertices x, y are adjacent if and only if they are commute. In this paper we calculate the energy, Laplacian energy and spectrum of non-commuting graph of dihedral group D2n. Also we will obtain the energy of non-commuting graph of D2n \times D2n and G \times H, where G is a non-abelian finite group and H is an abelian finite group

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Sayyed Heidar Jafari, Maryam Nasiri. 2019-02-02. The energy and spectrum of non commuting graph. https://arxiv.org/abs/1902.00690

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