Inverse Dominating Set of an Interval-valued Fuzzy Graphs
Ahmed N. Shain *
Department of Mathematic, Faculty of Education, Arts and Science, Sheba Region University, Marib, Yemen.
Mahiuob M. Q. Shubatah *
Department of Mathematics, Faculty of Science and Education, AL-Baydaa University, AL-Baydaa, Yemen.
*Author to whom correspondence should be addressed.
Abstract
Inverse domination is very much useful in network theory, Radio Stations, Electrical stations and several fields of mathematics. In This article, inverse domination in an interval-valued fuzzy graphs is defined and studied. Some bounds on inverse domination number γ8(G). are provided for several interval-valued fuzzy graphs, such as complete, complete bipartite, star,.. etc. Furthermore, the relationship of γ8(G). with some others known parameters in interval-valued fuzzy graphs investigated with some suitable examples.
Keywords: Fuzzy graph, Interval-valued fuzzy graph, Inverse dominating set and inverse domination number