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Fuzzy magic labeling of simple graphs

  • M. Fathalian
  • R. A. Borzooei
  • M. Hamidi
Original Research
  • 44 Downloads

Abstract

The study of labeling graphs exposed to various distance constraints is motivated by the problem of minimizing the span of non-interfering frequencies assigned to radio transmitters. However, fuzzy labeling models yield more precision, flexibility and compatibility to the system compared to the classical models. In this paper we show that whether any simple graph is fuzzy magic labelizing, by considering the concept of fuzzy magic labeling of graphs. In fact, we prove that every connected graph is a fuzzy magic labelizing graph. Finally, we give some applications for fuzzy magic labeling graphs.

Keywords

Fuzzy graph Fuzzy labeling Fuzzy magic labeling Fuzzy magic labeling 

Mathematics Subject Classification

05C78 05C62 05C72 

Notes

Acknowledgements

The authors wish to express their appreciation for several excellent suggestions for improvements in this paper made by the referees.

Funding

Funding information provided by Shahid Beheshti University.

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Copyright information

© Korean Society for Computational and Applied Mathematics 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of MathematicsPayame Noor UniversityTehranIran
  2. 2.Department of MathematicsShahid Beheshti UniversityTehranIran

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