Wiener Index of Some Operations on Fuzzy Graphs
Saqr H. Al-Emrany *
Department of Mathematics, Faculty of Arts and Science, Sheba Region Univerisity, Marib, Yemen.
Mahiuob M. Q. Shubatah
Department of Mathematics, Faculty of Science and Education, AL-Baydha University, AL-Baydha, Yemen.
Abdullah Q. Al-Mekhlafi
Department of Mathematics, Faculty of Arts and Science, Sheba Region Univerisity, Marib, Yemen.
*Author to whom correspondence should be addressed.
Abstract
In this paper, the concept of the Wiener index in some operations on fuzzy graphs was introduced and investigated. The bound of W(G) of some operations on fuzzy graphs are obtained like union, join, Cartesian product, composition, complete fuzzy graph, and bipartite complete fuzzy graph.
Keywords: Fuzzy graph, wiener index