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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spelling oai:doaj.org-article:464dedc8336445ba9c5b94be47ab28062021-12-05T14:10:44ZTopological indices of bipolar fuzzy incidence graph2391-542010.1515/chem-2021-0082https://doaj.org/article/464dedc8336445ba9c5b94be47ab28062021-09-01T00:00:00Zhttps://doi.org/10.1515/chem-2021-0082https://doaj.org/toc/2391-5420The 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.Gong ShuHua GangDe Gruyterarticlefuzzy graphtopology indexbipolar fuzzy incidence graphChemistryQD1-999ENOpen Chemistry, Vol 19, Iss 1, Pp 894-903 (2021)
institution DOAJ
collection DOAJ
language EN
topic fuzzy graph
topology index
bipolar fuzzy incidence graph
Chemistry
QD1-999
spellingShingle fuzzy graph
topology index
bipolar fuzzy incidence graph
Chemistry
QD1-999
Gong Shu
Hua Gang
Topological indices of bipolar fuzzy incidence graph
description 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.
format article
author Gong Shu
Hua Gang
author_facet Gong Shu
Hua Gang
author_sort Gong Shu
title Topological indices of bipolar fuzzy incidence graph
title_short Topological indices of bipolar fuzzy incidence graph
title_full Topological indices of bipolar fuzzy incidence graph
title_fullStr Topological indices of bipolar fuzzy incidence graph
title_full_unstemmed Topological indices of bipolar fuzzy incidence graph
title_sort topological indices of bipolar fuzzy incidence graph
publisher De Gruyter
publishDate 2021
url https://doaj.org/article/464dedc8336445ba9c5b94be47ab2806
work_keys_str_mv AT gongshu topologicalindicesofbipolarfuzzyincidencegraph
AT huagang topologicalindicesofbipolarfuzzyincidencegraph
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