Pythagorean Neutrosophic Planar Graphs with an Application in Decision-Making  

作　　者：P.Chellamani D.Ajay Mohammed M.Al-Shamiri Rashad Ismail 

机构地区：[1]Department of Mathematics,Sacred Heart College(Autonomous),Tirupattur,635601,Tamilnadu,India [2]Department of Mathematics,St.Joseph’s College of Engineering,OMR,Chennai,600119,Tamilnadu,India [3]Department of Mathematics,Faculty of Science and Arts,King Khalid University,Muhayl Assir,Saudi Arabia [4]Department of Mathematics and Computer,Faculty of Science,Ibb University,Ibb,Yemen

出　　处：《Computers, Materials & Continua》2023年第6期4935-4953,共19页计算机、材料和连续体（英文）

基　　金：The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through the Large Group Research Project under grant number(R.G.P.2/181/44).

摘　　要：Graph theory has a significant impact and is crucial in the structure of many real-life situations.To simulate uncertainty and ambiguity,many extensions of graph theoretical notions were created.Planar graphs play a vital role in modelling which has the property of non-crossing edges.Although crossing edges benefit,they have some drawbacks,which paved the way for the introduction of planar graphs.The overall purpose of the study is to contribute to the conceptual development of the Pythagorean Neutrosophic graph.The basic methodology of our research is the incorporation of the analogous concepts of planar graphs in the Pythagorean Neutrosophic graphs.The significant finding of our research is the introduction of Pythagorean Neutrosophic Planar graphs,a conceptual blending of Pythagorean Neutro-sophic and Planar graphs.The idea of Pythagorean Neutrosophic multigraphs and dual graphs are also introduced to deal with the ambiguous situations.This paper investigates the Pythagorean Neutrosophic planar values,which form the edges of the Pythagorean neutrosophic graphs.The concept of Pythagorean Neutrosophic dual graphs,isomorphism,co-weak and weak isomorphism have also been explored for Pythagorean Neutrosophic planar graphs.A decision-making algorithm was proposed with a numerical illustra-tion by using the Pythagorean Neutrosophic fuzzy graph.

关 键 词：Pythagorean neutrosophic planar graph planarity value ISOMORPHISM dual graphs MULTIGRAPH 

分 类 号：O15[理学—数学]