Quasi-Tree Graphs With Extremal General Multiplicative Zagreb Indices
Zagreb indices and their modified versions of a molecular graph are important molecular descriptors which can be applied in characterizing the structural properties of organic compounds from different aspects. In this article, by exploring the structures of the quasi-tree graphs with given different...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IEEE
2020-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9239966/ |
| _version_ | 1798001992408236032 |
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| author | Jianwei Du Xiaoling Sun |
| author_facet | Jianwei Du Xiaoling Sun |
| author_sort | Jianwei Du |
| collection | DOAJ |
| description | Zagreb indices and their modified versions of a molecular graph are important molecular descriptors which can be applied in characterizing the structural properties of organic compounds from different aspects. In this article, by exploring the structures of the quasi-tree graphs with given different parameters (order, perfect matching and number of pendant vertices) and using the properties of the general multiplicative Zagreb indices, we determine the minimal and maximal values of general multiplicative Zagreb indices on quasi-tree graphs with given order, with perfect matchings, and with given number of pendant vertices. Furthermore, we present the minimal and maximal values of general multiplicative Zagreb indices on trees with perfect matchings. |
| first_indexed | 2024-04-11T11:45:04Z |
| format | Article |
| id | doaj.art-04f62369ccae48aea4a5bcae0809c809 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-11T11:45:04Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-04f62369ccae48aea4a5bcae0809c8092022-12-22T04:25:35ZengIEEEIEEE Access2169-35362020-01-01819467619468410.1109/ACCESS.2020.30339299239966Quasi-Tree Graphs With Extremal General Multiplicative Zagreb IndicesJianwei Du0https://orcid.org/0000-0002-9415-6852Xiaoling Sun1https://orcid.org/0000-0001-9215-2340School of Science, North University of China, Taiyuan, ChinaSchool of Science, North University of China, Taiyuan, ChinaZagreb indices and their modified versions of a molecular graph are important molecular descriptors which can be applied in characterizing the structural properties of organic compounds from different aspects. In this article, by exploring the structures of the quasi-tree graphs with given different parameters (order, perfect matching and number of pendant vertices) and using the properties of the general multiplicative Zagreb indices, we determine the minimal and maximal values of general multiplicative Zagreb indices on quasi-tree graphs with given order, with perfect matchings, and with given number of pendant vertices. Furthermore, we present the minimal and maximal values of general multiplicative Zagreb indices on trees with perfect matchings.https://ieeexplore.ieee.org/document/9239966/General multiplicative Zagreb indicesquasi-tree graphtreeperfect matchingpendant vertex |
| spellingShingle | Jianwei Du Xiaoling Sun Quasi-Tree Graphs With Extremal General Multiplicative Zagreb Indices IEEE Access General multiplicative Zagreb indices quasi-tree graph tree perfect matching pendant vertex |
| title | Quasi-Tree Graphs With Extremal General Multiplicative Zagreb Indices |
| title_full | Quasi-Tree Graphs With Extremal General Multiplicative Zagreb Indices |
| title_fullStr | Quasi-Tree Graphs With Extremal General Multiplicative Zagreb Indices |
| title_full_unstemmed | Quasi-Tree Graphs With Extremal General Multiplicative Zagreb Indices |
| title_short | Quasi-Tree Graphs With Extremal General Multiplicative Zagreb Indices |
| title_sort | quasi tree graphs with extremal general multiplicative zagreb indices |
| topic | General multiplicative Zagreb indices quasi-tree graph tree perfect matching pendant vertex |
| url | https://ieeexplore.ieee.org/document/9239966/ |
| work_keys_str_mv | AT jianweidu quasitreegraphswithextremalgeneralmultiplicativezagrebindices AT xiaolingsun quasitreegraphswithextremalgeneralmultiplicativezagrebindices |