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Connectivity Indices of Intuitionistic Fuzzy Graphs and Their Applications in Internet Routing and Transport Network Flow

Author

Listed:
  • Tulat Naeem
  • Abdu Gumaei
  • Muhammad Kamran Jamil
  • Ahmed Alsanad
  • Kifayat Ullah

Abstract

Connectivity index has a vital role in real-world problems especially in Internet routing and transport network flow. Intuitionistic fuzzy graphs allow to describe two aspects of information using membership and nonmembership degrees under uncertainties. Keeping in view the importance of in real life problems and comprehension of , we aim to develop some in the environment of . We introduce two types of , namely, and average , in the frame of . In spite of that, certain kinds of nodes called connectivity enhancing node , connectivity reducing node , and neutral node are introduced for . We have introduced strongest strong cycles, - evaluation of vertices, cycle connectivity, and of strong cycle. Applications of the in two different types of networks are done, Internet routing and transport network flow, followed by examples to show the applicability of the proposed work.

Suggested Citation

  • Tulat Naeem & Abdu Gumaei & Muhammad Kamran Jamil & Ahmed Alsanad & Kifayat Ullah, 2021. "Connectivity Indices of Intuitionistic Fuzzy Graphs and Their Applications in Internet Routing and Transport Network Flow," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-16, August.
    • Handle: RePEc:hin:jnlmpe:4156879
    DOI: 10.1155/2021/4156879
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    Cited by:

    1. Jayanta Bera & Kinkar Chandra Das & Sovan Samanta & Jeong-Gon Lee, 2023. "Connectivity Status of Intuitionistic Fuzzy Graph and Its Application to Merging of Banks," Mathematics, MDPI, vol. 11(8), pages 1-25, April.

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