Detourg-interior nodes and detourg-boundarynodes in bipolar fuzzy graph with applications

Abstract

In this paper, we obtain a characterization of bipolar fuzzy detourg-eccentric node. Theconcepts of bipolar fuzzy detourg-boundary nodes and bipolar fuzzy detourg-interiornodes in a bipolar fuzzy graph are examined. Also we establish the relationship betweenbipolar fuzzy cut node and bipolar fuzzy detourg-boundary node. Some properties ofbipolar fuzzy detourg-boundary nodes, bipolar fuzzy detourg-interior nodes and bipolarfuzzy complete nodes are discussed. Bipolar fuzzy detourg-interior node and bipolar fuzzydetourg-boundary node of a bipolar fuzzy tree are introduced using maximum bipolarfuzzy spanning tree. Applications of detourg-distance, detourg-boundary node, detourg-interior node are given.