1 citations · 4 across the 8 of their papers we have counts for
9 papers
A variety of the mutual-visibility coloring problem for graphs
Saneesh Babu, Marko Jakovac, Dorota Kuziak +2
This paper explores variations of vertex-coloring problems defined on graph visibility properties. It introduces and studies the dual, outer, and total mutual-visibility chromatic…
Endomorphism and automorphism graphs of finite groups
Midhuna V Ajith, Peter J Cameron, Mainak Ghosh +1
Let be a group. The directed endomorphism graph, $\dend(G)$ of is a directed graph with vertex set and there is a directed edge from the vertex to the vertex if…
Endomorphism and Automorphism Graphs
Midhuna V Ajith, Mainak Ghosh, Aparna Lakshmanan S
Let be a group. The directed endomorphism graph, \dend of is a directed graph with vertex set and there is a directed edge from the vertex `' to the vertex `'…
Hypergraphs defined on algebraic structures
Peter J. Cameron, Aparna Lakshmanan S., Midhuna V. Ajith
There has been a great deal of research on graphs defined on algebraic structures in the last two decades. In this paper we begin an exploration of hypergraphs defined on algebraic…
The transformation of edge-regular and pseudo strongly regular graphs under graph operations
Jeepamol J Palathingal, Aparna Lakshmanan S, Greg Markowsky
The graph is said to be strongly regular with parameters if the following conditions hold: (1) each vertex has neighbours; (2) any two adjacent vertices of …
Spectrum of Strongly Regular Graphs under Graph Operators
Jeepamol J Palathingal, Aparna Lakshmanan S, Greg Markowsky
In this paper, we show that if G is strongly regular then the Gallai graph and the anti-Gallai graph of G are edge-regular. We also identify conditions under which the Gallai and a…
Impact of Vertex Addition on Italian Domination Number
Jismy Varghese, Aparna Lakshmanan S
An Italian dominating function (IDF), of a graph G is a function satisfying the condition that for every with $ f(v) = 0, \sum_{ u\i…
Perfect Italian Domination Number of Graphs
Jismi Varghese, Aparna Lakshmanan S
In this paper, an upper bound for the perfect Italian domination number of the cartesian product of any two graphs is obtained and the exact value of this parameter for cartesian p…
Impact of Some Graph Operations on Double Roman Domination Number
Anu V., Aparna Lakshmanan S.
Given a graph , a function having the property that if , then there exist such that or th…