Edge-contributions of some topological indices and arboreality of molecular graphs

Edge-contributions of some topological indices and arboreality of molecular graphs
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DOI:
10.26493/1855-3974.68.51b
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发表时间:
2009-01
期刊:
Ars Math. Contemp.
影响因子:
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通讯作者:
T. Pisanski;J. Žerovnik
T. Pisanski;J. Žerovnik
中科院分区:
其他
文献类型:
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作者:
T. Pisanski;J. Žerovnik

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一些图不变量可以通过对某些值求和来计算,称为图的所有边的边贡献。在本文中,我们使用边贡献来研究三个图不变量之间的关系,也被称为数学化学中的拓扑指数:Wiener指数,Szeged指数和最近引入的修正Szeged指数。我们还使用Wiener指标和修正的Szeged指标之间的商来研究图的树状性。
Some graph invariants can be computed by summing certain values, called edge-contributions over all edges of graphs. In this note we use edge-contributions to study relationships among three graph invariants, also known as topological indices in mathematical chemistry: Wiener index, Szeged index and recently introduced revised Szeged index. We also use the quotient between the Wiener index and the revised Szeged index to study tree-likeness of graphs.