On The Total Domination and Connected Total Domination Sets of G_(p,q)^M GRAPH
Keywords:
Dominating sets, Total Dominating sets, connected total domination sets, total domination number and connected total Domination number, G_(p,q)^Mgraph.Abstract
In graph theory, the theory of domination has several applications in various fields of science and technology, which is considered as a turn up field of research. In real life, it is extremely important in fields like network design, wireless sensor networks, logistics,mobile computing, telecommunication and others. Problems with facility location, communication or electrical network monitoring can lead to dominance. Undirected graphs is one of the most excellent models in connection with distributed computation and parallel processing. A set is said to be a dominating set of the graph if every vertex in is adjacent to at least one vertex in The domination number of the graph is the minimum cardinality of a dominating set of In this paper, some results on total dominating sets and connected total dominating sets of graph on a finite subset of natural numbers are presented and the domination numbers are obtained for various values of p, q
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