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Results on Vague Graphs with Applications in Human Trafficking

Author

Listed:
  • E. Darabian

    (Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran)

  • R. A. Borzooei

    (#x2020;Department of Mathematics, Shahid Beheshti University, Tehran, Iran)

Abstract

A vague graph is a generalized structure of a fuzzy graph that gives more precision, exibility, and compatibility to a system when compared with systems that are designed using fuzzy graphs. In this paper, the concepts of eccentricity of nodes, radius and diameter of vague graphs are introduced. The special types of graphs such as eccentrice and antipodal vague graphs are investigated. Then, the relation between eccentrice and antipodal vague graphs are discussed. Finally, an application of eccentrice and antipodal vague graphs in human traffickingn studied.

Suggested Citation

  • 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.
    • Handle: RePEc:wsi:nmncxx:v:14:y:2018:i:01:n:s1793005718500047
    DOI: 10.1142/S1793005718500047
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. 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.

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