Shrabani Das

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20232026

most citedZagreb indices of commuting and non-commuting graphs of finite groups and Hansen-Vukičević conjecture

1 citations · 1 across the 6 of their papers we have counts for

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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

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…

math.GR2024

Characterization of commuting graphs of finite groups having small genus

Shrabani Das, Deiborlang Nongsiang, Rajat Kanti Nath

In this paper we first show that among all double-toroidal and triple-toroidal finite graphs only $K_{8} ⊔ 9 K_{1}$ , $K_{8} ⊔ 5 K_{2}$ , $K_{8} ⊔ 3 K_{4}$ , $K_{8} ⊔ 9 K_{3}$ , $K_8\s…