- Hacettepe Journal of Mathematics and Statistics
- Vol: 49 Issue: 1
- Detour $g$-interior nodes and detour $g$-boundary nodes in bipolar fuzzy graph with applications
Detour $g$-interior nodes and detour $g$-boundary nodes in bipolar fuzzy graph with applications
Authors : Soumitra Poulik, Ganesh Ghorai
Pages : 106-119
Doi:10.15672/HJMS.2019.666
View : 7 | Download : 2
Publication Date : 2020-02-06
Article Type : Research
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