A Note on “Wiener Index of a Fuzzy Graph and Application to Illegal Immigration Networks”
Source abstract
Abstract
Connectivity parameters have an important role in the study of communication networks. Wiener index is such a parameter with several applications in networking, facility location, cryptology, chemistry, and molecular biology, etc. In this paper, we show two notes related to the Wiener index of a fuzzy graph. First, we argue that Theorem 3.10 in the paper “Wiener index of a fuzzy graph and application to illegal immigration networks, Fuzzy Sets and Syst. 384 (2020) 132–147” is not correct. We give a correct statement of Theorem 3.10. Second, by using a new operator on matrix, we propose a simple and polynomial-time algorithm to compute the Wiener index of a fuzzy graph.
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Research context
OpenAlex topics: Graph theory and applications · Graph Labeling and Dimension Problems · Complex Network Analysis Techniques
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Affiliations
Information and Communications Engineering, Changwon National University, Changwon 51140, Korea
Mathematics, North China Electric Power University, Beijing 102206, China
Mathematics, Changwon National University, Changwon 51140, Korea
Funding
National Research Foundation of Korea (NRF)
References (8)
Show source-provided references
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