A Note on "Wiener Index of a Fuzzy Graph and Application to Illegal Immigration Networks"

被引：1
|
作者：
Lee, Hoon [1 ]
Chen, Xue-gang [2 ]
Sohn, Moo Young [3 ]
机构：
[1] Changwon Natl Univ, Informat & Communicat Engn, Chang Won 51140, South Korea
[2] North China Elect Power Univ, Math, Beijing 102206, Peoples R China
[3] Changwon Natl Univ, Math, Chang Won 51140, South Korea
来源：
APPLIED SCIENCES-BASEL | 2022年 / 12卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
fuzzy graph; Wiener index; algorithm;
D O I：
10.3390/app12010304
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
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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页数：6
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