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Research Article Open access CC BY 4.0

Graceful Labelling for Complete Bipartite Fuzzy Graphs

R. Jebesty Shajila, S. Vimala

Journal of Advances in Mathematics and Computer Science · pp. 1–9 · Published 18 May 2017

10.9734/BJMCS/2017/32242

Abstract

The concept of fuzzy graceful labelling is introduced. A graph which admits a fuzzy graceful labelling is called a fuzzy graceful graph. Fuzzy graceful labelled graphs are becoming an increasingly useful family of mathematical models for a broad range of applications. In this paper the concept of fuzzy graceful labelling is applied to complete bipartite graphs. Also we discussed the edge and vertex gracefulness of some complete bipartite graphs.

Fuzzy labelling graceful labelling fuzzy graceful labelling fuzzy edge- vertex graceful labelling fuzzy bipartite graph

References (5)

  1. 1 Strong arcs in fuzzy graphs [DOI]
  2. 2 Symmetry Breaking in Graceful Graphs [DOI]
  3. 3 A Fuzzy Set Theory Based Methodology for Analysis of Uncertainties in Stage-Discharge Measurements and Rating Curve
  4. 4 Notes on Types of arcs in a fuzzy graph [DOI]
  5. 5 International Journal of Fuzzy Mathematical Archive [DOI]

Cited by 3

On some applications related with algebraic structures through different well known graphs

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