R. K. Nath

activity

20112026

most citedOn Laplacian energy of non-commuting graphs of finite groups

6 citations · 16 across the 27 of their papers we have counts for

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30 papers · 1 filter

math.GR2026

Various spectra and energies of subgroup generating bipartite graph

Shrabani Das, Ahmad Erfanian, Rajat Kanti Nath

Let $L (G)$ be the set of all subgroups of a group $G$ . The subgroup generating bipartite graph $B (G)$ defined on $G$ is a bipartite graph whose vertex set is partitioned…

math.GR2025

Zagreb indices of subgroup generating bipartite graph

Shrabani Das, Ahmad Erfanian, Rajat Kanti Nath

Let $G$ be a group and $L (G)$ be the set of all subgroups of $G$ . The subgroup generating bipartite graph $B (G)$ defined on $G$ is a bipartite graph whose vertex set is p…

math.GR2024

On a bipartite graph defined on groups

Shrabani Das, Ahmad Erfanian, Rajat Kanti Nath

Let $G$ be a group and $L (G)$ be the set of all subgroups of $G$ . We introduce a bipartite graph $B (G)$ on $G$ whose vertex set is the union of two sets $G \times G$ and…

math.GR2024

Commuting Conjugacy Class Graphs of Finite Groups and the Hansen-Vukičević Conjecture

Shrabani Das, Rajat Kanti Nath, Yilun Shang

In this work, we compute the first and second Zagreb indices for the commuting conjugacy class graphs associated with finite groups. We identify multiple classes of finite groups w…

math.GR2024

Engel and co-Engel graphs of finite groups

Peter J. Cameron, Rishabh Chakraborty, Rajat Kanti Nath +1

Let $G$ be a group. Associate a directed graph $E (G)$ (called the Engel digraph of $G$ ) with $G$ whose vertex set is $G$ , with an arc $(x, y)$ if $[y,_{k} x] = 1$ for some posi…

math.GR2024★ 1 cited

Super commuting graphs of finite groups and their Zagreb indices

Shrabani Das, Rajat Kanti Nath

Let $B$ be an equivalence relation defined on a finite group $G$ . The $B$ super commuting graph on $G$ is a graph whose vertex set is $G$ and two distinct vertices $g$ and $h$ are…