NEIGHBORHOOD CONNECTIVITY INDEX OF A VAGUE GRAPH

NEIGHBORHOOD CONNECTIVITY INDEX OF A VAGUE GRAPH

M. Mojahedfar, A. A. Talebi

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Abstract

Neighborhood connectivity index (NCI) in graphs is a fundamental issue in fuzzy graph (FG) theory that has wide applications in the real world. Hence, in this paper, we investigate NCI in vague graphs(VG) with several examples. Also, one of the motives of this research is to introduce several bounds and index values of structures like trees, cycles and complete VGs are obtained. This article discusses about a parameter in VGs theory termed as NCI. Finally, an application is presented.

Keywords

Fuzzy graph, vague graph, connectivity index, Neighborhood connectivity index.