7 citations · 26 across the 12 of their papers we have counts for
12 papers
Tensor join of hypergraphs and its spectra
R. Vishnupriya, R. Rajkumar
In this paper, we introduce three operations on hypergraphs by using tensors. We show that these three formulations are equivalent and we commonly call them as the tensor join. We…
Automorphism group of the reduced power (di)graph of a finite group
T. Anitha, R. Rajkumar
We describe the full automorphism group of the directed reduced power graph and the undirected reduced power graph of a finite group. We compute the full automorphism groups of the…
Spectra of generalized corona of graphs constrained by vertex subsets
R. Rajkumar, M. Gayathri
In this paper, we introduce a generalization of corona of graphs. This construction generalizes the generalized corona of graphs (consequently, the corona of graphs), the cluster o…
Spectra of -merged subdivision graph of a graph
R. Rajkumar, M. Gayathri
In this paper, we define a ternary graph operation which generalizes the construction of subdivision graph, graph, central graph. Also, it generalizes the construction of overl…
Some results on the reduced power graph of a group
R. Rajkumar, T. Anitha
The reduced power graph of a group is the graph with vertex set and two vertices and are adjacent if and only if $\left\langle v\right\rangle \sub…
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…
The complement of proper power graphs of finite groups
T. Anitha, R. Rajkumar, Andrei Gagarin
For a finite group , the proper power graph of is the graph whose vertices are non-trivial elements of and two vertices and are adjacent if an…
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…
Distance Graphs of Metric Spaces with Rosenbloom - Tsfasman metric
W. B. Vasantha, R. Rajkumar
Rosenbloom and Tsfasman introduced a new metric (RT metric) which is a generalization of the Hamming metric. In this paper we study the distance graphs of spaces and …