Detour $g$-interior nodes and detour $g$-boundary nodes in bipolar fuzzy graph with applications

Year 2020, Volume: 49 Issue: 1, 106 - 119, 06.02.2020

Soumitra Poulik Ganesh Ghorai

https://doi.org/10.15672/HJMS.2019.666

Cited By: 11

https://izlik.org/JA59ZG44CH

Abstract

In this paper, we obtain a characterization of bipolar fuzzy detour $g$-eccentric node. The concepts of bipolar fuzzy detour $g$-boundary nodes and bipolar fuzzy detour $g$-interior nodes in a bipolar fuzzy graph are examined. Also we establish the relationship between bipolar fuzzy cut node and bipolar fuzzy detour $g$-boundary node. Some properties of bipolar fuzzy detour $g$-boundary nodes, bipolar fuzzy detour $g$-interior nodes and bipolar fuzzy complete nodes are discussed. Bipolar fuzzy detour $g$-interior node and bipolar fuzzy detour $g$-boundary node of a bipolar fuzzy tree are introduced using maximum bipolar fuzzy spanning tree. Applications of detour $g$-distance, detour $g$-boundary node, detour $g$-interior node are given.

Keywords

Bipolar fuzzy detour g-distance , bipolar fuzzy detour g-interior node , bipolar fuzzy detour g-boundary node

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