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\(\varvec{m}\)-Polar Fuzzy Labeling Graphs with Application

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Abstract

In this article, we apply the concept of m-polar fuzzy sets in labeling graphs and introduce the concept of m-polar fuzzy labeling graphs. We present properties of m-polar fuzzy labeling cycle and m-polar fuzzy labeling with bridge and cut nodes. We introduce several different types of distances, including w-distance, strongest strong distance, strong geodesic distance, \(\delta \)-distance in m-polar fuzzy labeling graph and investigate some of their properties. We also present an application of m-polar fuzzy labeling graphs in image processing.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

    Muhammad Akram & Arooj Adeel

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  1. Muhammad Akram
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  2. Arooj Adeel
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Correspondence to Muhammad Akram.

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Akram, M., Adeel, A. \(\varvec{m}\)-Polar Fuzzy Labeling Graphs with Application. Math.Comput.Sci. 10, 387–402 (2016). https://doi.org/10.1007/s11786-016-0277-x

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  • DOI: https://doi.org/10.1007/s11786-016-0277-x

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