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具有最大度距离的单圈图(英文) 被引量:5

The Unicyclic Graph with Maximum Degree Distance
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摘要 设U (n)是具有n个顶点的所有单圈图的集合,G(3; n- 3)是由一个三角形C3粘上一条悬挂路P_(n-3)得到的单圈图.本文将证明当n 5时具有最大度距离的单圈图是G(3; n - 3). Let u(n) be the set of all unicyclic graphs on n(n≥3) vertices. Let G(3 ; n-3) be the graph obtained from a triangle Cs by attaching a pendent path Pn-3. In this paper we prove that the extremal graph with maximum degree distance of unicyclic graphs is G(3; n-3) when n≥5.
作者 侯远 常安
出处 《数学研究》 CSCD 2006年第1期18-24,共7页 Journal of Mathematical Study
基金 The work was supported by the Natural National Science Foundation of China(10371019) SDFFZU 2003-XQ-22)
关键词 单圈图 度距离 unicyclic graph degree distance
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参考文献6

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同被引文献12

  • 1陈爱莲,何秀萍.单圈图的度距离序[J].福州大学学报(自然科学版),2004,32(6):664-668. 被引量:4
  • 2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
  • 3Gutman I. Selected properties of the Schultz molecular topological index[J]. Journal of Chemical Information and Computer Sciences, 1994, 34 (5): 11087-1089.
  • 4Wiener H. Structural determination of paraffin boiling points[J]. Journal of the American Chemical Society, 1947, 69 ( 1 ): 17-20.
  • 5Dobrynin A, Kochetova A. Degree distance of a graph : A degree analog of the Wiener index[J]. Journal of Chemical Information and Computer Sciences, 1994, 34 (5): 1082-1086.
  • 6Gutman I. Selected properties of the Schultz molecular topological index[J]. Journal of Chemical Information and Computer Sciences, 1994, 34 (5): 1087-1089.
  • 7Tomescu I. Unicyclic and bicyclic graphs having minimum degree distance[J]. Discrete Appl Math, 2008 ( 156 ): 125-130.
  • 8Ili A, Stevanovi D, Feng L, et al. Degree distance of unicyclic and bicyclic graphs[J]. Discrete Applied Mathematics, 2011, 159 (8): 779-785.
  • 9侯远,常安.具最小度距离的完美匹配单圈图[J].福州大学学报(自然科学版),2008,36(3):323-326. 被引量:1
  • 10何秀萍.具有最小度距离的双圈图[J].数学研究,2008,41(4):434-438. 被引量:5

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