Fuzzy Tri‐Magic Labeling of Isomorphic Caterpillar Graph ζ 2,3,5 6 of Diameter 5
P. Sumathi, C. Monigeetha · 2021
Let G be a finite, simple, undirected graph without loops or multiple edges. 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 it is proved that isomorphic caterpillar of diameter 5 is fuzzy tri-magic.