7 citations · 23 across the 6 of their papers we have counts for
6 papers
Inclusion graph of subgroups of a group
P. Devi, R. Rajkumar
For a finite group , we define the inclusion graph of subgroups of , denoted by , is a graph having all the proper subgroups of as its vertices and two dis…
Coprime graph of subgroups of a group
R. Rajkumar, P. Devi
Let be a group. We define the coprime graph of subgroups of , denoted by , is a graph whose vertex set is the set of all proper subgroups of , and two dist…
Toroidality and projective-planarity of intersection graphs of subgroups of finite groups
R. Rajkumar, P. Devi
Let be a group. The intersection graph of subgroups of , denoted by , is a graph with all the proper subgroups of as its vertices and two distinct vertic…
Classification of finite groups with toroidal or projective-planar permutability graphs
R. Rajkumar, P. Devi, Andrei Gagarin
Let be a group. The permutability graph of subgroups of , denoted by , is a graph having all the proper subgroups of as its vertices, and two subgroups are adjacen…
Permutability graph of cyclic subgroups
R. Rajkumar, P. Devi
Let be a group. \textit{The permutability graph of cyclic subgroups of }, denoted by , is a graph with all the proper cyclic subgroups of as its vertices and two…
Permutability graphs of subgroups of some finite non-abelian groups
R. Rajkumar, P. Devi
In this paper, we study the structure of the permutability graphs of subgroups, and the permutability graphs of non-normal subgroups of the following groups: the dihedral groups $D…