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Vertex Connectivity of Fuzzy Graphs with Applications to Human Trafficking

Author

Listed:
  • Shanookha Ali

    (Department of Mathematics, National Institute of Technology, Calicut 673601, Kerala, India)

  • Sunil Mathew

    (Department of Mathematics, National Institute of Technology, Calicut 673601, Kerala, India)

  • John N. Mordeson

    (Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA)

  • Hossein Rashmanlou

    (Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran)

Abstract

Connectivity is the most important aspect of a dynamic network. It has been widely studied and applied in different perspectives in the past. In this paper, constructions of t-connected fuzzy graphs for an arbitrary real number t and average fuzzy vertex connectivity of fuzzy graphs are discussed. Average fuzzy vertex connectivity of fuzzy trees, fuzzy cycles and complete fuzzy graphs are studied. The concept of a uniformly t-connected fuzzy graph is introduced and characterized towards the end. An application related to human trafficking is also discussed.

Suggested Citation

  • Shanookha Ali & Sunil Mathew & John N. Mordeson & Hossein Rashmanlou, 2018. "Vertex Connectivity of Fuzzy Graphs with Applications to Human Trafficking," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(03), pages 457-485, November.
    • Handle: RePEc:wsi:nmncxx:v:14:y:2018:i:03:n:s1793005718500278
    DOI: 10.1142/S1793005718500278
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    References listed on IDEAS

    as
    1. E. Darabian & R. A. Borzooei, 2018. "Results on Vague Graphs with Applications in Human Trafficking," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 37-52, March.
    2. John N. Mordeson & Sunil Mathew, 2017. "Human Trafficking: Source, Transit, Destination Designations," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 209-218, November.
    3. John N. Mordeson & Sunil Mathew, 2017. "Non-Deterministic Flow in Fuzzy Networks and Its Application in Identification of Human Trafficking Chains," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 231-243, November.
    4. John N. Mordeson & Sunil Mathew, 2018. "t-Norm Fuzzy Graphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 129-143, March.
    5. John N. Mordeson & Sunil Mathew & R. A. Borzooei, 2018. "Vulnerability and Government Response to Human Trafficking: Vague Fuzzy Incidence Graphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(02), pages 203-219, July.
    6. John N. Mordeson & Sunil Mathew & Davender S. Malik, 2018. "Generalized Fuzzy Relations," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(02), pages 187-202, July.
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    Cited by:

    1. Bo Cao & Abdol Aziz Shahraki, 2023. "Planning of Transportation Infrastructure Networks for Sustainable Development with Case Studies in Chabahar," Sustainability, MDPI, vol. 15(6), pages 1-15, March.
    2. Manimozhi Vasuki & Ramachandramoorthi Shanmugapriya & Miroslav Mahdal & Robert Cep, 2023. "A Study on Fuzzy Resolving Domination Sets and Their Application in Network Theory," Mathematics, MDPI, vol. 11(2), pages 1-9, January.
    3. Arya Sebastian & John N Mordeson & Sunil Mathew, 2020. "Generalized Fuzzy Graph Connectivity Parameters with Application to Human Trafficking," Mathematics, MDPI, vol. 8(3), pages 1-21, March.

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