1. A Note on 'Wiener Index of a Fuzzy Graph and Application to Illegal Immigration Networks'
- Author
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Hoon Lee, Xue-gang Chen, and Moo Young Sohn
- Subjects
Fluid Flow and Transfer Processes ,Technology ,algorithm ,QH301-705.5 ,Process Chemistry and Technology ,Physics ,QC1-999 ,General Engineering ,ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION ,Engineering (General). Civil engineering (General) ,Computer Science Applications ,fuzzy graph ,Wiener index ,Chemistry ,Mathematics::Probability ,General Materials Science ,TA1-2040 ,Biology (General) ,Instrumentation ,QD1-999 - 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.
- Published
- 2022