Sanjay Mukherjee

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math.GR2025

On the deep commuting graph of a finite group

Sumana Hatui, Sanjay Mukherjee, Kamal Lochan Patra

Let $G$ be a finite group and let $G ~$ be a Schur cover of $G$ . The deep commuting graph $Δ_{D} (G)$ of $G$ is a simple graph with vertex set $G$ , where two distinct vertices a…

math.GR2023

Spectrum of conjugacy and order super commuting graphs of some finite groups

Sandeep Dalal, Sanjay Mukherjee, Kamal Lochan

Let $Γ$ be a simple finite graph with vertex set $V (Γ)$ and edge set $E (Γ)$ . Let $R$ be an equivalence relation on $V (Γ)$ . The $R$ -super $Γ$ graph $Γ^{\mathcal{…