Fuzzification of Zero Forcing Process

Borzooei, Rajab Ali; Hoseini, B. Sheikh; Golmohammadian, M.; Montazeri, Zahra; Takallo, M. Mohseni

doi:10.1142/s179300572050012x

Cited by 1 publication

(1 citation statement)

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“…Akram et al [5,6] introduced interval-valued fuzzy graph as an extension of fuzzy graph and established some of their properties. Moreover, some researchers applied fuzzy sets, intervalvalued fuzzy sets, intuitionistic fuzzy sets, vague sets and neutrosophic sets etc., on graphs [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. In 2012, Jun et al [23] combined the theory of the interval-valued fuzzy set with the fuzzy set, and introduced the notion of cubic set.…”

Section: Introductionmentioning

confidence: 99%

Cubic Graphs and Their Application to a Traffic Flow Problem

Muhiuddin¹,

Takallo²,

Jun³

et al. 2020

IJCIS

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A graph structure is a useful tool in solving the combinatorial problems in different areas of computer science and computational intelligence systems. In this paper, we introduce the concept of cubic graph, which is different from the notion of cubic graph in S. Rashid, N. Yaqoob, M. Akram, M. Gulistan, Cubic graphs with application, Int. J. Anal. Appl. 16 (2018), 733-750, and investigate some of their interesting properties. Then we define the notions of cubic path, cubic cycle, cubic diameter, strength of cubic graph, complete cubic graph, strong cubic graph and illustrate these notions by several examples. We prove that any cubic bridge is strong and we investigate equivalent condition for cubic cutvertex. Finally, we use the concept of cubic graphs in traffic flows to get the least time to reach the destination.

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