On the Non-Commuting Graph of Dihedral Group

2019/01/17 by Khasraw, Sanhan, Ali, Ivan, Haji, Rashad
#05C07 #05C12 #05C30 #05C31 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1901.06012

Abstract

For a nonabelian group G, the non-commuting graph Γ_G of G is defined as the graph with vertex set G-Z(G), where Z(G) is the center of G, and two distinct vertices of Γ_G are adjacent if they do not commute in G. In this paper, we investigate the detour index, eccentric connectivity and total eccentricity polynomials of non-commuting graph on D_2n. We also find the mean distance of non-commuting graph on D_2n.

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