Abstract:Let $G$ be a group. The commuting graph $\zeta(G, V)$ of a group $G$ has a vertex set $V\subseteq G,$ two vertices are connected with an edge if the corresponding elements commute in $G.$ In this article, we study the commuting graphs for the non-abelian $p$-groups of order $p^n$ with center size $p^{n-2}.$ We study detour distance, metric dimension, resolving polynomials, and the spectral properties for these graphs.
From: Dilpreet Kaur Kaur [view email]
[v1]
Tue, 23 Jun 2026 07:53:59 UTC (13 KB)
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