A Study on Domination Sets in Vague Graphs with Novel Applications

Abstract

Abstarct. Theoretical concepts of graphs are highly utilized by computer science applications. Especially in research areas of computer science such as data mining, image segmentation, clustering, image capturing and networking. Fuzzy graph theory has numerous applications in modern sciences and technology such as neural networks, artificial intelligence and decision making. A vague graph is a generalized structure of a fuzzy graph that gives more precision, flexibility, and compatibility to a system when compared with systems that are designed using fuzzy graphs. In this paper, we study some results on point set dominating set and its number of vague graphs and semi complete vague graphs. Likewise, we introduce the bounds with other domination parameters of vague graphs. Finally, we give some applications of point set dominating sets in the other sciences.