Perfect Dominating Set of An Interval-Valued Fuzzy Graphs
Faisal M. AL-Ahmadi *
Departement of Mathematics, Sheba Region Univerisity, faculty of Education, Arts and Science Marib, Yemen.
Mahiuob M. Q. Shubatah
Department of mathematics, faculty of Science and Education, Albaydha University, Albaydha, Yemen.
*Author to whom correspondence should be addressed.
Abstract
Aims/ Objectives: Perfect domination is very much useful in network theory, Electrical stations and several fields of mathematics. In This paper, perfect domination in an intervalvalued fuzzy graphs is defined and studied. Some bounds on perfect domination number γp(G) are provided for several interval-valued fuzzy graphs, such as complete, wheel and star,.. etc. Furthermore, the relationship of γp(G): with some other known parameters in interval-valued fuzzy graphs investigated with some suitable examples.
Keywords: Interval-valued fuzzy graph, Perfect dominating set, Perfect domination number