Complex Pythagorean Fuzzy Planar Graphs

Abstract In this research work, the notion of complex Pythagorean fuzzy planar graph (CPFPG), an extension of Pythagorean fuzzy planar graph, is presented to study the planarity. The planarity of these graphs is based on the extended range of degree from real to complex plane with unit circle. Here,...
Ausführliche Beschreibung

Abstract In this research work, the notion of complex Pythagorean fuzzy planar graph (CPFPG), an extension of Pythagorean fuzzy planar graph, is presented to study the planarity. The planarity of these graphs is based on the extended range of degree from real to complex plane with unit circle. Here, the ideas of complex Pythagorean fuzzy multigraphs (CPFMGs), complex Pythagorean fuzzy planar graphs (CPFPGs) and some distinguished aspects of these graphs are presented by inspecting the complex Pythagorean fuzzy planarity value using weak and strong edges. A close relation is established between CPFPGs and dual graphs. Discussion about the non-planarity of graphs and the concepts of co-weak isomorphism, isomorphism and weak isomorphism for CPFPGs are also added. Furthermore, an application based on the proposed idea is presented to illustrate the efficiency of given model. The comparison study is also given to validate the consistency and superiority of our model. Ausführliche Beschreibung