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.

引用

页数：6

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