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

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.