Topological indices of bipolar fuzzy incidence graph

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...

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Autores principales: Gong Shu, Hua Gang
Formato: article
Lenguaje:EN
Publicado: De Gruyter 2021
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Acceso en línea:https://doaj.org/article/464dedc8336445ba9c5b94be47ab2806
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Sumario: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.