Total Domination Number of Kronecker Product of Wheel Graphs
DOI:
https://doi.org/10.17762/msea.v72i1.2403Abstract
The paper is related on the analytical study of total domination number of Kronecker product of Wheel Graph. Cockayne, Dawes and Hedetniemi introduced the total domination in graphs. In this paper, first we have defined the Kronecker product of wheel graph for . Then, we will find the exact value of total domination number of Kronecker product of Wheel Graphs in generalize form. If and are two graphs with their vertex set and respectively then the Kronecker product of these two graphs is defined to be a graph with its vertex set as such that is the Cartesian product of the sets and . Where two vertices in Kronecker product graph have an edge if and only if and are edges in graph and respectively.