[This article belongs to Volume - 54, Issue - 02]
Gongcheng Kexue Yu Jishu/Advanced Engineering Science
Journal ID : AES-14-11-2022-435

Title : A NOTE ON FUZZY DETOUR BLOCKS AND PERFECT DETOURIN FUZZY GRAPHS
R. Rajeshkumar and A.M. Anto

Abstract :

A path P is a fuzzy detour if its μ - length is maximum among all the paths between them.In this note, we present fuzzy detour blocks, perfect detour and quasi detour number with relevant examples. We further demonstrate the existence of a nested chain of vertex-removed subgraphs, each of which has the property of being a fuzzy detour block. Finally, we point out that all complete fuzzy graphs are perfect detours.