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一类树的Hosoya指标序列
引用本文:高玉芬. 一类树的Hosoya指标序列[J]. 湖南文理学院学报(自然科学版), 2007, 19(2): 25-26,45
作者姓名:高玉芬
作者单位:青海大学,基础部,青海,西宁,810017
摘    要:一个图的Hosoya指标是图的所有独立边子集的数目之和,包括空集.T(n1,n2,n3)表示只有一个3度点,三个1度点且唯一3度点到三个一度点的路长分别是n1,n2,n3的树.用代数组合的方法研究了这类树的Hosoya指标值.给出了这类树在一定条件下依Hosoya指标值的排序.

关 键 词:拓扑指标    Hosoya-指标
文章编号:1672-6146(2007)02-0025-02
修稿时间:2007-04-10

Hosoya Index Sequence of a Class of Trees
GAO Yu-fen. Hosoya Index Sequence of a Class of Trees[J]. Journal of Hunan University of Arts and Science:Natural Science Edition, 2007, 19(2): 25-26,45
Authors:GAO Yu-fen
Affiliation:Department of Basic Research, Qinghai University, Xining Qinghai 810017
Abstract:The Hosoya index of a graph is the number of all indepent edge subsets of a graph, By T ( n1 , n2 , n3 ) denotes a tree with a vertex v of degree 3 and three vertices of degree 1 such that the distances from v to the three vertices of degree 1 are n1 , n2 ,n3 , respectively. In the paper, we study the Hosoya index of tree T ( n1 , n2 , n3 ) and give the order of T ( n1 , n2 , n3 ) by its Hosya index.
Keywords:topological index   Tree   Hosoya index
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