A Multipolar Fuzzy Outerplanar Graph Approach to One-Way Road Network Construction

Abstract

This current research report distinctly compares the traditional crisp graph planarity with the growing field of fuzzy graph theory, importantly focusing on m-polar fuzzy outerplanar graphs (mPFOGs). It investigates the mPFOGs properties and introduces m-polar fuzzy outerplanar subgraphs (mPFOSs) that were formed by the removal of the specific vertices or edges. This study not only provides examples illustrating the identification of maximal and maximum mPFOSs but also introduces m-polar fuzzy dual graphs derived from mPFOGs and explores their relationships. The theoretical findings are applied to urban planning, specifically in optimising one-way bypass road networks to improve traffic flow and reduce accident-prone intersections.