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Research Article Open access CC BY 4.0

Wiener Index of Fuzzy Graph by Using Strong Domination

Saqr H. AL- Emrany, Mahiuob M. Q. Shubatah

Asian Journal of Probability and Statistics · pp. 13–24 · Published 8 Jan 2021

10.9734/ajpas/2020/v10i330247

Abstract

Aims/ Objectives: This paper presents a new method to calculate the Wiener index of a fuzzy graph by using strong domination number s of a fuzzy graph G. This method is more useful than other methods because it saves time and eorts and doesn't require more calculations, if the edges number is very larg (n). The Wiener index of some standard fuzzy graphs are investigated. At last, we nd the relationship between strong domination number s and the average (G) of a fuzzy graph G was studied with suitable examples.

Fuzzy graph strong domination Wiener index.

Cited by 2

DOMINATING SET ON CHAIN OF FUZZY GRAPHS

Russel H. Majeed, N. Arif · Tikrit Journal of Pure Science · 2023

Wiener Index of Some Operations on Fuzzy Graphs

Saqr H. Al-Emrany, Mahiuob M. Q. Shubatah, Abdullah Q. Al-Mekhlafi · Asian Journal of Probability and Statistics · 2021

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