On symmetric division deg index of unicyclic graphs and bicyclic graphs with given matching number

Nowadays, it is an important task to find extremal values on any molecular descriptor with respect to different graph parameters. In a molecular graph, the vertices represent the atoms and the edges represent the chemical bonds in the terms of graph theory. For one thing, the molecular graphs of som...

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Published inAIMS mathematics Vol. 6; no. 8; pp. 9020 - 9035
Main Authors Sun, Xiaoling, Gao, Yubin, Du, Jianwei
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
bicyclic graph
matching number
perfect matching
symmetric division deg index
unicyclic graph
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Abstract Nowadays, it is an important task to find extremal values on any molecular descriptor with respect to different graph parameters. In a molecular graph, the vertices represent the atoms and the edges represent the chemical bonds in the terms of graph theory. For one thing, the molecular graphs of some chemical compounds are unicyclic graphs or bicyclic graphs, such as benzene compounds, napthalene, cycloalkane, et al. For another, the symmetric division deg index is proven to be a potentially useful molecular descriptor in quantitative structure-property/activity relationships (QSPR/QSAR) studies recently. Therefore, we present the maximum symmetric division deg indices of unicyclic graphs and bicyclic graphs with given matching number. Furthermore, we identify the corresponding extremal graphs.
AbstractList Nowadays, it is an important task to find extremal values on any molecular descriptor with respect to different graph parameters. In a molecular graph, the vertices represent the atoms and the edges represent the chemical bonds in the terms of graph theory. For one thing, the molecular graphs of some chemical compounds are unicyclic graphs or bicyclic graphs, such as benzene compounds, napthalene, cycloalkane, et al. For another, the symmetric division deg index is proven to be a potentially useful molecular descriptor in quantitative structure-property/activity relationships (QSPR/QSAR) studies recently. Therefore, we present the maximum symmetric division deg indices of unicyclic graphs and bicyclic graphs with given matching number. Furthermore, we identify the corresponding extremal graphs.
Author Sun, Xiaoling
Gao, Yubin
Du, Jianwei
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crossref_primary_10_1007_s40314_023_02428_1
crossref_primary_10_1016_j_amc_2022_127438
crossref_primary_10_1016_j_amc_2023_128390
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10.1007/s12190-020-01386-9
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10.1016/S0024-3795(03)00394-X
10.1016/j.amc.2019.124737
10.1007/s10910-005-9017-1
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10.1007/978-1-349-03521-2
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Snippet Nowadays, it is an important task to find extremal values on any molecular descriptor with respect to different graph parameters. In a molecular graph, the...
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StartPage 9020
SubjectTerms bicyclic graph
matching number
perfect matching
symmetric division deg index
unicyclic graph
Title On symmetric division deg index of unicyclic graphs and bicyclic graphs with given matching number
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