Volume 55 | Number 3 | Year 2018 | Article Id. IJMTT-V55P526 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P526
A function f V G : ( ) { 1, 0,1} defined on the vertex set of a graph G V E ( , ) is said to be a minus dominating function if the sum of its function values over every closed neighbourhood is at least one. That is for every v V f N v , ( [ ]) 1 , where N v( ) consists of v and every vertex adjacent to v. The weight of a minus dominating function is f V f v ( ) ( ) , over all vertices v V . The minus domination number of a graph G , denoted by ( ) G is equal to the minimum weight of a minus domination function of G . In this paper, we study the change in minus domination number after adding an edge to paths and 1 , 3 n C K n B. We also investigate the bounds for minus domination number of Jahangir graph and the line graph of sun let graphs.
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Poorvi A. G, V.Sangeetha, "Changing and Unchanging of Minus Domination in Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 3, pp. 200-211, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P526