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双星树的度距离研究

On the Degree Distance of Star-Like Trees
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摘要 G=(V,E)表示顶点集为V,边集为E的所有的简单连通图的集合.本文研究了S(p,q)的度距离,得到D'(S(p,q))按照p(或q)的一个排序,并对它们的极值情况下的极图进行了刻画. G = ( V, E )is the set of simple connect graph with vertex set V, edge set E. The degree distance of S (p, q ) is investigated, and get an order with respect to p(or q ) of D'( S(p, q ) ) , the extremal graphs achieved the extremal values are characterized as well.
出处 《邵阳学院学报(自然科学版)》 2009年第4期6-8,共3页 Journal of Shaoyang University:Natural Science Edition
基金 湖南省科技厅科技资助项目(2009sk3026)
关键词 度距离 双星树 距离 极值 极图 distance degree distance double-star like tree extremal graph
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  • 7[2]Ioan Tomescu. Some extremal properties of the degree distance of a graph[J]. Discrete Applied Mathematics, 1999(98): 159-163.
  • 8[3]Ivan Gutman. Selected properties of the schultz molecular topological index[J]. J Chem Inf Comput Sci, 1994(34): 1087-1089.
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  • 10Dobrynin Andrey A, Kochetova Amide A. Degree distance of a graph: a degree analogue of the Wiener index[J]. J Chem Inf Comput Sci, 1994(34): 1 082- 1 086.

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