期刊文献+

一类树的化学指标极值的构造性证明

The consruction of extremal of chemical index of a class of tree
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摘要 具有r个悬挂点的树称为r叶树.文章研究了具有n个顶点的4叶树的Merrifield-Simmons指标值,并用构造的方法刻画了具有最小Merrifield-Simmons指标的4叶树. A Tree T is called a r-leaf-tree if T has r pendent vertices.In this paper,we research Merrifield-Simmon index of 4-leaf-trees with order n and characterized the 4-leaf-trees with the minimal Merrifield-Simmon index by of the construction.
作者 肖玉兰
机构地区 青海师范大学
出处 《青海师范大学学报(自然科学版)》 2010年第4期1-3,7,共4页 Journal of Qinghai Normal University(Natural Science Edition)
关键词 MERRIFIELD-SIMMONS指标 r叶树 极值. merrifield-simmon index r-leaf-tree values
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参考文献5

  • 1J.A.Bondy,U.S.R.Murty,Graph theory with Applications,North-Holland,Amsterdam,1976.
  • 2Stephan G.Wagner,Extremal trees with respect to Hosoya index and Merrifield-Simmons index,MATCH Commun.Math.Comput.Chem.57(2007)221-233.
  • 3R.E.Merrifield,H.E.Simmons,Topological methods in chemistry,Wiley,New York,1989.
  • 4H.Prodinger,R.F.Tichy,Fibonacci numbers of graphs,Fibonacci Quart.20(1982)16-21.
  • 5Y.Gao,X.Wei,On the extremal Merrifield-Simmons index with respect to trees having given number of endvertices,Journal of Shandong University.44(2009).

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