activity
20242026
collaborators

6 papers

math.CO2026

Certain topological indices and spectral properties of SGB-graphs of finite cyclic groups

Shrabani Das, Ahmad Erfanian, Rajat Kanti Nath

Let be the set of all subgroups of a group . The subgroup generating bipartite graph defined on is a bipartite graph whose vertex set is the union of…

math.GR2026

Various spectra and energies of subgroup generating bipartite graph

Shrabani Das, Ahmad Erfanian, Rajat Kanti Nath

Let be the set of all subgroups of a group . The subgroup generating bipartite graph defined on is a bipartite graph whose vertex set is partitioned…

math.GR2025

Super commuting graphs of finite groups and their Zagreb indices

Shrabani Das, Rajat Kanti Nath

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

math.GR2025

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.GR2025

Zagreb indices of subgroup generating bipartite graph

Shrabani Das, Ahmad Erfanian, Rajat Kanti Nath

Let be a group and be the set of all subgroups of . The subgroup generating bipartite graph defined on 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 be a group and be the set of all subgroups of . We introduce a bipartite graph on whose vertex set is the union of two sets and…