Topological indices of bipolar fuzzy incidence graph

Author:

Gong Shu12,Hua Gang1

Affiliation:

1. School of Information and Control Engineering, China University of Mining and Technology , Xuzhou , China

2. Department of Computer Science, Guangdong University Science and Technology , Dongguan , China

Abstract

Abstract The topological index of graph has a wide range of applications in theoretical chemistry, network design, data transmission, etc. In fuzzy graph settings, these topological indices have completely different definitions and connotations. In this work, we define new Wiener index and connectivity index for bipolar fuzzy incidence graphs, and obtain the characteristics of these indices by means of the definition of fuzzy membership functions. Furthermore, the interrelationship between Wiener index and connectivity index is considered.

Publisher

Walter de Gruyter GmbH

Subject

Materials Chemistry,General Chemistry

Reference29 articles.

1. Ghorbani M , Deng B , Hakimi-Nezhaad M , Li X . A survey on borderenergetic graphs. MATCH Commun Math Comput Chem. 2020;84:293–322.

2. Jafarzadeh N , Iranmanesh A . On graph-based data structures to multiple genome alignment. MATCH Commun Math Comput Chem. 2020;83:33–62.

3. Zhang WR . Bipolar fuzzy sets and relations: a computational framework for cognitive modeling and multiagent decision analysis. Proceedings of IEEE Conference. Piscataway, NJ: IEEE; 1994. p. 305–9.

4. Awais HM , Javaid M , Ali A . First general Zagreb index of generalized F-sum graphs. Discrete Dyn Nat Soc. 2020;2020:2954975. 10.1155/2020/2954975.

5. Nandini GK , Rajan RS , Shantrinal AA , Rajalaxmi TM , Rajasingh I , Balasubramanian K . Topological and thermodynamic entropy measures for COVID-19 pandemic through graph theory. Symmetry-Basel. 2020;12(12):1992. 10.3390/sym12121992.

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