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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De Gruyter
2021
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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) |
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fuzzy graph topology index bipolar fuzzy incidence graph Chemistry QD1-999 |
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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 |
_version_ |
1718371784275787776 |