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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doaj-2ac04cb736514a83ac093c5f745172972021-07-08T00:56:50ZengAIMS PressAIMS Mathematics2473-69882021-06-01689020903510.3934/math.2021523On symmetric division deg index of unicyclic graphs and bicyclic graphs with given matching numberXiaoling Sun0Yubin Gao1Jianwei Du2School of Science, North University of China, Taiyuan 030051, ChinaSchool of Science, North University of China, Taiyuan 030051, ChinaSchool of Science, North University of China, Taiyuan 030051, ChinaNowadays, 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.https://www.aimspress.com/article/doi/10.3934/math.2021523?viewType=HTMLsymmetric division deg indexunicyclic graphbicyclic graphperfect matchingmatching number |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Xiaoling Sun Yubin Gao Jianwei Du |
spellingShingle |
Xiaoling Sun Yubin Gao Jianwei Du On symmetric division deg index of unicyclic graphs and bicyclic graphs with given matching number AIMS Mathematics symmetric division deg index unicyclic graph bicyclic graph perfect matching matching number |
author_facet |
Xiaoling Sun Yubin Gao Jianwei Du |
author_sort |
Xiaoling Sun |
title |
On symmetric division deg index of unicyclic graphs and bicyclic graphs with given matching number |
title_short |
On symmetric division deg index of unicyclic graphs and bicyclic graphs with given matching number |
title_full |
On symmetric division deg index of unicyclic graphs and bicyclic graphs with given matching number |
title_fullStr |
On symmetric division deg index of unicyclic graphs and bicyclic graphs with given matching number |
title_full_unstemmed |
On symmetric division deg index of unicyclic graphs and bicyclic graphs with given matching number |
title_sort |
on symmetric division deg index of unicyclic graphs and bicyclic graphs with given matching number |
publisher |
AIMS Press |
series |
AIMS Mathematics |
issn |
2473-6988 |
publishDate |
2021-06-01 |
description |
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. |
topic |
symmetric division deg index unicyclic graph bicyclic graph perfect matching matching number |
url |
https://www.aimspress.com/article/doi/10.3934/math.2021523?viewType=HTML |
work_keys_str_mv |
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1721314517623767040 |