Abstract
Objectives: In the present article, we deduced a characterization of Bipolar Single Valued Neutrosophic (BSVN) radius and eccentricity of the vertex based on Bipolar Single Valued Neutrosophic set(BSVNS) detour. Method: We obtained some definitions BSVN on a vertex like BSVN detour eccentric vertex, BSVN detour radius, BSVN detour diameter, BSVN detour centered and BSVN detour periphery. Findings: We derived some important results based on these BSVN detour radius, diameter, center and periphery. Novelty: The detour distance of the BSVNS model is proposed and generalized by this. An important and suitable condition for the graphs of the Single Valued Neutrosophic Set(SVNS) model to BSVNS detour distances has been identified. Keywords: Detour distance; BSVN detour eccentric; BSVN detour distance; BSVN detour peripheral node; BSVN detour path
Highlights
The Neutrosophic sets [1] is a great exact implement for the situation uncertainty in the real world
We discuss about Bipolar Single Valued Neutrosophic (BSVN) graphs and neutrosophic detour distance between two vertices of the graph based on BSVN eccentricity, radius, diameter, and the periphery with respect to detour distance
We extended the part of BSVN sets to BSVN graphs
Summary
The Neutrosophic sets [1] is a great exact implement for the situation uncertainty in the real world. These uncertainty ideas come from the theories of fuzzy sets [2], intuitionistic fuzzy sets [3] and interval-valued intuitionistic fuzzy sets [4]. The representation of the neutrosophic sets is truth, indeterminacy and falsity value. The uncertainty on the graph of vertices and edges or both representations to be a fuzzy graph In this manuscript, we discuss about BSVN graphs and neutrosophic detour distance between two vertices of the graph based on BSVN eccentricity, radius, diameter, and the periphery with respect to detour distance
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