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单圈图的度距离序 被引量:4

Ordering unicyclic graphs by their degree distance
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摘要 记G(n)为所有n阶连通简单单圈图所构成的集合。主要讨论了G(n)按其度距离从小到大进行排序的问题,并确定了该序的前5个图和相应的度距离。其中极小图是由n阶星图的2个悬挂点之间添加一条边所得到的图R(3)n=3n2-3n-6。n,且D′R(3) Let \$G(n)\$ be the collective of all the simple connective graphs with \$n\$ vertices. The problem on the ordering graphs in \$G(n)\$ by their degree distance is investigated in this paper, and the first five graphs in this order and the corresponding degree distance of these graphs are determined. The first graph \$R^((3))_n\$ in this order is the graph obtained from the star graph by adding an edge between two vertices of degree 1, and \$D′R^((3))_n=3n^2-3n-6.
出处 《福州大学学报(自然科学版)》 CAS CSCD 2004年第6期664-668,共5页 Journal of Fuzhou University(Natural Science Edition)
基金 福州大学发展基金资助项目(2003-xy-12).
关键词 单圈图 度距离 graph degree distance ordering
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参考文献4

  • 1Dobrynin 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.
  • 2Ioan Tomescu. Some extrimal properties of the degree distance of a graph[ J]. Discrete Applied Mathematics, 1999(98): 159 -163.
  • 3Ivan Gutman. Selected properties of the Schultz molecular topological index[ J]. J Chem Inf Comput Sci, 1994 (34): 1 087 -1 089.
  • 4Bond J A, Murty U S R. Graph theory with applications[ M]. New York: MacMillan Press, 1976.

同被引文献14

  • 1郭晓峰,董哈微.树按Wiener指标的排序[J].厦门大学学报(自然科学版),2005,44(3):297-298. 被引量:2
  • 2侯远,常安.具有最大度距离的单圈图(英文)[J].数学研究,2006,39(1):18-24. 被引量:5
  • 3Dobrynin Andrey A, Kochetova Amide A. Degree distance of a graph: a degree analogue of the Wiener index. J. Chem. Inf. Comput. Sci., 1994, 34: 1082-1086.
  • 4Ioan Tomescu. Some extremal properties of the degree distance of a graph. Discrete Applied Mathematics, 1999, 98: 159-163.
  • 5Ivan Gutman. Selected properties of the Schultz molecular topological index. J. Chem. Inf. Comput. Sci., 1994, 34: 1087-1089.
  • 6Bond J A, Murty U S R. Graph theory with applications. New York: MacMillan Press, 1976.
  • 7Wiener H. Structural Determination of Paraffin Boiling Points [J]. J. Amer. Chem. Soc, 1947, 69: 17-20.
  • 8Ivan Gutman. Selected Properties of the Schultz Molecular Topological Index[J]. J Chem Inf Comput Sci, 1994, 34: 1087-1089.
  • 9Ioan Tomescu. Note Some Extremal Properties of the Degree Distance of A Graph[J]. Discrete Applied Mathematics, 1999, 98: 159-163.
  • 10Bond J A, Murty U S R. Graph Theory with Applications [M]. New York: MacMillan Press. 1976.

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