TY - JOUR
T1 - Connectivity Indices of Intuitionistic Fuzzy Graphs and Their Applications in Internet Routing and Transport Network Flow
AU - Naeem, Tulat
AU - Gumaei, Abdu
AU - Kamran Jamil, Muhammad
AU - Alsanad, Ahmed
AU - Ullah, Kifayat
N1 - Publisher Copyright:
© 2021 Tulat Naeem et al.
PY - 2021
Y1 - 2021
N2 - Connectivity index CI has a vital role in real-world problems especially in Internet routing and transport network flow. Intuitionistic fuzzy graphs IFGs allow to describe two aspects of information using membership and nonmembership degrees under uncertainties. Keeping in view the importance of CIs in real life problems and comprehension of IFGs, we aim to develop some CIs in the environment of IFGs. We introduce two types of CIs, namely, CI and average CI, in the frame of IFGs. In spite of that, certain kinds of nodes called IF connectivity enhancing node IFCEN, IF connectivity reducing node IFCRN, and IF neutral node are introduced for IFGs. We have introduced strongest strong cycles, θ-evaluation of vertices, cycle connectivity, and CI of strong cycle. Applications of the CIs 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.
AB - Connectivity index CI has a vital role in real-world problems especially in Internet routing and transport network flow. Intuitionistic fuzzy graphs IFGs allow to describe two aspects of information using membership and nonmembership degrees under uncertainties. Keeping in view the importance of CIs in real life problems and comprehension of IFGs, we aim to develop some CIs in the environment of IFGs. We introduce two types of CIs, namely, CI and average CI, in the frame of IFGs. In spite of that, certain kinds of nodes called IF connectivity enhancing node IFCEN, IF connectivity reducing node IFCRN, and IF neutral node are introduced for IFGs. We have introduced strongest strong cycles, θ-evaluation of vertices, cycle connectivity, and CI of strong cycle. Applications of the CIs 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.
UR - http://www.scopus.com/inward/record.url?scp=85113741925&partnerID=8YFLogxK
U2 - 10.1155/2021/4156879
DO - 10.1155/2021/4156879
M3 - Article
AN - SCOPUS:85113741925
SN - 1024-123X
VL - 2021
JO - Mathematical Problems in Engineering
JF - Mathematical Problems in Engineering
M1 - 4156879
ER -