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arXiv · 1901.06012

On the Non-Commuting Graph of Dihedral Group

Sanhan Khasraw·Ivan Ali·Rashad Haji
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Abstract

For a nonabelian group G, the non-commuting graph $\Gamma_G$ 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 $\Gamma_G$ 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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Sanhan Khasraw, Ivan Ali, Rashad Haji. 2019-01-17. On the Non-Commuting Graph of Dihedral Group. https://arxiv.org/abs/1901.06012

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