Aims / Objectives: In this paper, we introduced and investigated the concept of split domination in interval-valued fuzzy graph and denoted by γs. We obtained many results related to γs. We investigated and study the relationship of γs with other known parameters in interval-valu...
Open access
Research Article10.9734/ajpas/2021/v15i430360
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 fuzz...
Open access
Research Article10.9734/ajpas/2021/v13i130296
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 provid...
Open access
Research Article10.9734/ajpas/2021/v11i430273
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 prov...
Open access
Research Article10.9734/ajpas/2021/v11i330270
Aims/ Objectives: This paper presents a new method to calculate the Wiener index of a fuzzy graph by using strong domination number s of a fuzzy graph G. This method is more useful than other methods because it saves time and eorts and doesn't require more calculations, if the ed...
Open access
Research Article10.9734/ajpas/2020/v10i330247
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 param...
Open access
Research Article10.9734/ajarr/2021/v15i130352