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一类图关于Merrifield-Simmons指标和Hosoya指标的排序

Orderings of a class of graphs with respect to Merrifield-Simmons indices and Hosoya indices

中文摘要英文摘要

Merrifield-Simmons 指标和Hosoya指标是化学图论研究中最为重要和流行的两个拓扑指标。图的Merrifield-Simmons指标定义为图中所有独立集的数目;图的Hosoya 指标定义为图中所有匹配的数目。本文主要研究了一类图的Merrifield-Simmons指标和Hosoya指标,根据上两接点和之间的距离,给出了该类图关于这两种指标的排序。

Merrifield-Simmons index and Hosoya index are the two valuable topological indices in chemical graph theory.The Merrifield-Simmons index of a graph is defined as the total number of the independent sets of the graph and the Hosoya index of a graph is defined as the total number of the matchings of the graph.In this paper,the Merrifield-Simmons index and Hosoya index of the class of graphs are investigated,according to the distance between and on,their orderings with respect to these two indices are obtained.

田双亮、田文文、王文婷

数学化学

Merrifield-Simmons指标Hosoya指标排序

graphMerrifield-Simmons indexHosoya indexorder

田双亮,田文文,王文婷.一类图关于Merrifield-Simmons指标和Hosoya指标的排序[EB/OL].(2013-10-15)[2025-08-16].http://www.paper.edu.cn/releasepaper/content/201310-142.点此复制

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