Angsuman Das

activity

20232026

collaborators

8 papers

math.GR2026

On Connectivity of Comaximal Subgroup Graph

Angsuman Das, Arnab Mandal, Labani Sarkar

The co-maximal subgroup graph $Γ (G)$ of a finite group $G$ is defined to be a graph with the set of all non-trivial proper subgroups of $G$ as the set of vertices and two distinct…

math.GR2025

The Difference Subgroup Graph of a Finite Group

Angsuman Das, Arnab Mandal, Labani Sarkar

The \emph{difference subgroup graph} $D (G)$ of a finite group $G$ is defined as the graph whose vertices are the non-trivial proper subgroups of $G$ , with two distinct vertices $H$ …

math.GR2025

On Independence Number of Comaximal Subgroup Graph

Angsuman Das, Arnab Mandal

In this paper, we establish sharp thresholds on the independence number of the comaximal subgroup graph $Γ (G)$ that guarantee solvability, supersolvability, and nilpotency of the u…

math.CO2024

Automorphism group of a family of distance regular graphs which are not distance transitive

Angsuman Das, S. Morteza Mirafzal

Let $G_{n} = Z_{n} \times Z_{n}$ for $n \geq 4$ and $S = {(i, 0), (0, i), (i, i) : 1 \leq i \leq n - 1} \subset G_{n}$ . Define $Γ (n)$ to be the Cayley graph of $G_{n}$ with respect to th…

math.GR2024

Solvability of a group based on its number of subgroups

Angsuman Das, Arnab Mandal

In this paper, we provide some conditions of (super)-solvability and nilpotency of a finite group $G$ based on its number of subgroups $S u b (G)$ . Our results generalize the classifi…

math.GR2024

On a family of quasi-strongly regular Cayley graphs

Sucharita Biswas, Angsuman Das

In this paper, we construct a family of quasi-strongly regular Cayley graphs $Γ_{H} (G)$ which is defined on a finite group $G$ with respect to a subgroup $H$ of $G$ . We also compute…