Fuzzy Tri‐Magic Labeling of Isomorphic Caterpillar Graph ζ 6 2,3,4 of Diameter 5
P. Sumathi, C. Monigeetha · 2021
Let G be a finite, simple, undirected and non-trivial graph. A fuzzy graph is said to admit tri-magic labeling if the number of magic membership values K i ' s (1 ≤ i ≤ 3) differ by at most 1 and | K i - K j | ≤ 2/10 r for 1 ≤ i , j ≤ 3, r ≥ 2. The fuzzy graph which admits a tri-magic labeling is called a fuzzy tri-magic labeling graph. A caterpillar is defined as a tree in which all the vertices are within distance one of a central path. In this paper we have taken the isomorphic caterpillar of diameter 5 and proved that it is fuzzy tri-magic and we also gave the magic membership values, their corresponding edges and the number of magic membership values as tables.