%0 Journal Article
%T Some dominating results of the join and corona operations between discrete topological graphs
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Idan, Mays K.
%A Abdlhusein, Mohammed A.
%D 2023
%\ 05/01/2023
%V 14
%N 5
%P 235-242
%! Some dominating results of the join and corona operations between discrete topological graphs
%K dominating set
%K inverse dominating set
%K corona operation
%K join operation
%R 10.22075/ijnaa.2022.6795
%X The dominating sets play an important role in applications of graph theory. In this field, some recent studies discussed the properties of the minimum dominating set ($\gamma $-set). The other type of study produces a topological space from the set of vertices or the set of edges of a graph. The previous paper introduces a new method to construct a graph $G_{\tau }$ from the topological space. In this paper, the dominating set and the domination number of $G_{\tau }$ are proved with their inverse. The domination number and inverse domination number of corona operation and join operation between two graphs are discussed.
%U https://ijnaa.semnan.ac.ir/article_6795_6fab85f2d427ad9703f7dd710fd1e151.pdf