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

Tulat Naeem, Abdu Gumaei, Muhammad Kamran Jamil, Ahmed Alsanad and Kifayat Ullah

Mathematical Problems in Engineering, 2021, vol. 2021, 1-16

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.

Date: 2021
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://downloads.hindawi.com/journals/MPE/2021/4156879.pdf (application/pdf)
http://downloads.hindawi.com/journals/MPE/2021/4156879.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:4156879

DOI: 10.1155/2021/4156879

Access Statistics for this article

More articles in Mathematical Problems in Engineering from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().