On the Non-Commuting Graph of the Group U_6n

2020/10/26 by Sanhan Khasraw, Khasraw, Sanhan, C. H. Jaf +5
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.2010.13475

arxiv created 2020/10/26 · arxiv updated 2020/10/27

Abstract

A non-commuting graph of a finite group G is a graph whose vertices are non-central elements of G and two vertices are adjacent if they don't commute in G. In this paper, we study the non-commuting graph of the group U_6n and explore some of its properties including the independent number, clique and chromatic numbers. Also, the general formula of the resolving polynomial of the non-commuting graph of the group U_6n are provided. Furthermore, we find the detour index, eccentric connectivity, total eccentricity and independent polynomials of the graph.

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