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Certain Metrics in m-Polar Fuzzy Graphs

Author

Listed:
  • Muhammad Akram

    (Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan)

  • Neha Waseem

    (Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan)

Abstract

In this paper, we present certain metrics in m-polar fuzzy graphs including antipodal m-polar fuzzy graphs and self median m-polar fuzzy graph of given m-polar fuzzy graphs. We illustrate the concepts of metric in m-polar fuzzy graphs by several examples and investigate some of their properties. We discuss some properties of isomorphic m-polar fuzzy graphs. We also describe an application of m-polar fuzzy graph in a road network.

Suggested Citation

  • Muhammad Akram & Neha Waseem, 2016. "Certain Metrics in m-Polar Fuzzy Graphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 12(02), pages 135-155, July.
    • Handle: RePEc:wsi:nmncxx:v:12:y:2016:i:02:n:s1793005716500101
    DOI: 10.1142/S1793005716500101
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    Citations

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    Cited by:

    1. Musavarah Sarwar & Muhammad Akram, 2017. "Novel Applications of m-Polar Fuzzy Concept Lattice," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 261-287, November.
    2. Muhammad Akram & Gulfam Shahzadi, 2018. "Hypergraphs in m -Polar Fuzzy Environment," Mathematics, MDPI, vol. 6(2), pages 1-18, February.
    3. Muhammad Akram & Musavarah Sarwar, 2018. "New Applications of m-Polar Fuzzy Competition Graphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(02), pages 249-276, July.

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