TY - JOUR
ID - 6795
TI - Some dominating results of the join and corona operations between discrete topological graphs
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Idan, Mays K.
AU - Abdlhusein, Mohammed A.
AD - Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq
Y1 - 2023
PY - 2023
VL - 14
IS - 5
SP - 235
EP - 242
KW - dominating set
KW - inverse dominating set
KW - corona operation
KW - join operation
DO - 10.22075/ijnaa.2022.6795
N2 - 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.
UR - https://ijnaa.semnan.ac.ir/article_6795.html
L1 - https://ijnaa.semnan.ac.ir/article_6795_6fab85f2d427ad9703f7dd710fd1e151.pdf
ER -