Counterexample of a theorem in Wiener index of a fuzzy graph and application to illegal immigration networks

TL;DR

This paper critiques a theorem related to the Wiener index of fuzzy graphs, providing counterexamples and discussing applications to illegal immigration networks.

Contribution

It offers counterexamples to a specific theorem in fuzzy graph theory and explores its implications for modeling illegal immigration networks.

Findings

Counterexamples demonstrate violations of the theorem.

Highlights limitations of the Wiener index in fuzzy graph applications.

Discusses relevance to illegal immigration network analysis.

Abstract

In the article, we review and critique the Corollary and Theorem of Wiener index of a fuzzy graph and application to illegal immigration networks, and in addition to providing examples of violations.