Abstract
In this Paper, we introduced the concept of fuzzy anti-magic labeling in graphs. We defined Fuzzy Anti-Magic Labeling (FAML) for Cycle, Star, Path and Antiprism graphs.A fuzzy graph G:(σ,μ)s known as fuzzy anti-magic graph if there exists two bijective functions σ : V->[0,1] and μ :V*V ->[0,1] such that μ u,v<σ(u)^σ(v) with the property that the sum of the edge labels incident to each vertex, the sums will all be different. We investigated and verified that fuzzy Cycle graphs, fuzzy Star graphs, fuzzy Path graphs and fuzzy antiprism graphs admits fuzzy anti-magic labeling.Further some properties related to fuzzy bridge and fuzzy cut vertex have been discussed.
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2 articles.
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1. Fuzzy anti-magic labeling of comb graph;2ND INTERNATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS: ICMTA2021;2022
2. Hamiltonian fuzzy anti-magic labeling of graphs;INTERNATIONAL CONFERENCE ON ADVANCES IN MATERIALS, COMPUTING AND COMMUNICATION TECHNOLOGIES: (ICAMCCT 2021);2022