R. Rajkumar

activity

20152020

most citedToroidality and projective-planarity of intersection graphs of subgroups of finite groups

7 citations · 9 across the 3 of their papers we have counts for

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4 papers · 1 filter

math.GR2018

Some results on the reduced power graph of a group

R. Rajkumar, T. Anitha

The reduced power graph $RP (G)$ of a group $G$ is the graph with vertex set $G$ and two vertices $u$ and $v$ are adjacent if and only if $\left\langle v\right\rangle \sub…

math.GR2016

Inclusion graph of subgroups of a group

P. Devi, R. Rajkumar

For a finite group $G$ , we define the inclusion graph of subgroups of $G$ , denoted by $I (G)$ , is a graph having all the proper subgroups of $G$ as its vertices and two dis…

math.GR2015★ 7 cited

Toroidality and projective-planarity of intersection graphs of subgroups of finite groups

R. Rajkumar, P. Devi

Let $G$ be a group. The intersection graph of subgroups of $G$ , denoted by $I (G)$ , is a graph with all the proper subgroups of $G$ as its vertices and two distinct vertic…

math.GR2015★ 1 cited

Permutability graph of cyclic subgroups

R. Rajkumar, P. Devi

Let $G$ be a group. \textit{The permutability graph of cyclic subgroups of $G$ }, denoted by $Γ_{c} (G)$ , is a graph with all the proper cyclic subgroups of $G$ as its vertices and two…