Common Neighbourhood and Common Neighbourhood Domination in Fuzzy Graphs
Abdullah Q. AL- Mekhlafi *
Departement of Mathematics, Faculty of Art and Science, Univerisity of Sheba Region, Mareb, Yemen.
Mahiuob M. Q. Shubatah
Department of Mathematics, Faculty of Science and Education, AL-Baydaa university, AL-Baydaa, Yemen.
Saqr H. AL- Emrany
Departement of Mathematics, Faculty of Art and Science, Univerisity of Sheba Region, Mareb, Yemen.
*Author to whom correspondence should be addressed.
Abstract
In this paper the concepts of common neighbourhood and common neighbourhood domination in fuzzy graph G was introduced and investigated and denoted by Ncn and γcn. We obtained many results related to γcn(G) and Ncn. Finally we give the relationship of γcn(G) with some other parameters in fuzzy graphs.
Keywords: Fuzzy graph common-neighbourhood, common-neighbourhood domination number, Injneigborhood.