6 papers · 1 filter
On Connectivity of Comaximal Subgroup Graph
Angsuman Das, Arnab Mandal, Labani Sarkar
The co-maximal subgroup graph of a finite group is defined to be a graph with the set of all non-trivial proper subgroups of as the set of vertices and two distinct…
The Difference Subgroup Graph of a Finite Group
Angsuman Das, Arnab Mandal, Labani Sarkar
The \emph{difference subgroup graph} of a finite group is defined as the graph whose vertices are the non-trivial proper subgroups of , with two distinct vertices …
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 that guarantee solvability, supersolvability, and nilpotency of the u…
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 based on its number of subgroups . Our results generalize the classifi…
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 which is defined on a finite group with respect to a subgroup of . We also compute…
On Some Intersection Properties of Finite Groups
Angsuman Das, Arnab Mandal
In this article, we introduce the study of a class of finite groups which admits a subgroup which intersects all non-trivial subgroups of . We also explore a subclass of it…