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Novel Properties of Fuzzy Labeling Graphs

Author

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  • A. Nagoor Gani
  • Muhammad Akram
  • D. Rajalaxmi (a) Subahashini

Abstract

The concepts of fuzzy labeling and fuzzy magic labeling graph are introduced. Fuzzy magic labeling for some graphs like path, cycle, and star graph is defined. It is proved that every fuzzy magic graph is a fuzzy labeling graph, but the converse is not true. We have shown that the removal of a fuzzy bridge from a fuzzy magic cycle with odd nodes reduces the strength of a fuzzy magic cycle. Some properties related to fuzzy bridge and fuzzy cut node have also been discussed.

Suggested Citation

  • A. Nagoor Gani & Muhammad Akram & D. Rajalaxmi (a) Subahashini, 2014. "Novel Properties of Fuzzy Labeling Graphs," Journal of Mathematics, Hindawi, vol. 2014, pages 1-6, July.
    • Handle: RePEc:hin:jjmath:375135
    DOI: 10.1155/2014/375135
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    Cited by:

    1. Ramachandramoorthi Shanmugapriya & Perichetla Kandaswamy Hemalatha & Lenka Cepova & Jiri Struz, 2023. "A Study of Independency on Fuzzy Resolving Sets of Labelling Graphs," Mathematics, MDPI, vol. 11(16), pages 1-9, August.

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