Kongunadu Research Journal
Vol. 5 No. 1 (2018): Vol 5, Iss 1, Year 2018
Articles

FUZZY ANTI-MAGIC LABELING ON SOME GRAPHS

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  • Ameenal Bibi K,
  • Devi M
Ameenal Bibi K
PG and Research Department of Mathematics, D.K.M College for Women (Autonomous), Vellore - 632 001, Tamil Nadu, India.
Devi M
PG and Research Department of Mathematics, D.K.M College for Women (Autonomous), Vellore - 632 001, Tamil Nadu, India.
DOI: https://doi.org/10.26524/krj244
Published June 30, 2018
Keywords
  • Fuzzy Anti-Magic labeling, FAM Cycle, FAM Star, FAM Path, FAM Antiprism.
How to Cite
K, A. B., & M, D. (2018). FUZZY ANTI-MAGIC LABELING ON SOME GRAPHS. Kongunadu Research Journal, 5(1), 8-14. https://doi.org/10.26524/krj244

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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