Fuzzification of Zero Forcing Process

R. A. Borzooei, B. Sheikh Hoseini (), M. Golmohammadian (), Z. Montazeri () and M. Mohseni Takallo ()
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R. A. Borzooei: Department of Mathematics, Shahid Beheshti University, Tehran, Iran
B. Sheikh Hoseini: Department of Mathematics, Shahid Beheshti University, Tehran, Iran
M. Golmohammadian: #x2020;Department of Mathematics, Tarbiat Modares University, Tehran, Iran
Z. Montazeri: #x2021;Department of Mathematics, Alzahra University, Tehran, Iran
M. Mohseni Takallo: Department of Mathematics, Shahid Beheshti University, Tehran, Iran

New Mathematics and Natural Computation (NMNC), 2020, vol. 16, issue 01, 195-210

Abstract: In this paper, we investigate the fuzzification of zero forcing process. For this, first we introduce a new embedding of a graph G by considering a minimal zero forcing set of G and an arbitrary list of maximal forcing chains of this zero forcing set. Then we get a comparison between zero forcing sets of a graph by using fuzzy concepts. Finally, we give an application for this procedure.

Keywords: Graph; fuzzy graph; zero forcing set; zero forcing process; zero forcing embedding (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S179300572050012X

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