6 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
4 papers · 1 filter
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…
Intersection graph of cyclic subgroups of groups
R. Rajkumar, P. Devi
Let be a group. The intersection graph of cyclic subgroups of , denoted by , is a graph having all the proper cyclic subgroups of as its vertices and tw…
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 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…