Affiliation:
1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India
Abstract
The Zagreb index (ZI) is a very important graph parameter and it is extensively used in molecular chemistry, spectral graph theory, network theory and several fields of mathematics and chemistry. In this article, the first ZI is studied for several fuzzy graphs like path, cycle, star, fuzzy subgraph, etc. and presented an ample number of results. Also, it is established that the complete fuzzy graph has maximal first ZI among n-vertex fuzzy graphs. Some bounds of first ZI are discussed for Cartesian product, composition, union and join of two fuzzy graphs. An algorithm has been designed to calculate the first ZI of a fuzzy graph. At the end of the article, a multi-criteria decision making (MCDM) method is provided using the first ZI of a fuzzy graph to find the best employee in a company. Also a comparison is provided among related indices on the result of application and shown that our method gives better results.
Subject
Artificial Intelligence,General Engineering,Statistics and Probability
Reference47 articles.
1. On automorphisms of fuzzy graphs;Bhutani;Pattern Recognit Lett,1989
2. Connectivity index of a fuzzy graph and its application to human trafficking;Binu;Fuzzy Sets Syst,2019
3. Wiener index of a fuzzy graph and application to illegal immigration networks;Binu;Fuzzy Sets Syst,2020
4. Fuzzy mixed graphs and its application to identification of COVID19 affected central regions in India;Das;Journal of Intelligent and Fuzzy Systems,2020
Cited by
23 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献