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梯型图和交叉型图的亏格分布

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摘要 提供了求梯型图和交叉型图的亏格分布显式表达式的方法.作为一个例子,求出了第1类亏格依赖于边数的图类J_n的亏格分布的显式表达式.
出处 《中国科学(A辑)》 CSCD 北大核心 2008年第12期1347-1355,共9页 Science in China(Series A)
基金 国家自然科学基金(批准号:10571013,60433050) 国家重点基础研究发展规划(批准号:2004CB318004)资助项目
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参考文献14

  • 1Gross J L, Furst M L. Hierarcy of imbedding distribution invariants of a graph. J Graph Theory, 11: 205-220 (1987) 被引量:1
  • 2Liu Y P. Embeddability in Graphs. Dordrecht-Boston-London: Kluwer Academic Publisher, 1995 被引量:1
  • 3Gross J L, Robbins D P, Tucker T W. Genus distributions for bouquets of circles. J Combin Theory Set B, 47:292-306 (1989) 被引量:1
  • 4Jackson D M. Counting cycles in permutations by group characters with an application to a topological problem. Trans Amer Math Soc, 299:785-801 (1987) 被引量:1
  • 5Furst M L, Gross J L, Statman R. Genus distributions for two classes of graphs. J Combin Theory Ser B, 46:22-36 (1989) 被引量:1
  • 6McGeoch L A. Algorithms for two graph problems: computing maximum-genus imbeddings and the two- server problem, Ph D Thesis. PA: Carnegie Mellon University, 1987 被引量:1
  • 7Tesar E H. Genus distribution of Ringel ladders. Discret Math, 216:235-252 (2000) 被引量:1
  • 8Kwak J H, Lee J. Genus polynomials of Dipoles. Kyungpook Math J, 33:115-125 (1993) 被引量:1
  • 9Rieper R G. The enumeration of graph imbeddings. Ph D Thesis. MI: Western Michigan University, 1987 被引量:1
  • 10万良霞.一般梯图的亏格分布[J].应用数学学报,2008,31(5):806-816. 被引量:7

二级参考文献16

  • 1Gross J L, Furst M.L. Hierarcy of Imbedding Distribution Invariants of a Graph. J. Graph Theory, 1987, 11:205-220. 被引量:1
  • 2McGeoch L A. Algorithms for Two Graph Problems: Computing Maximum-genus Imbeddings and the Two-server Problem. Computer Science Dept., Carnegie Mellon University, PA: Ph.D Thesis, 1987. 被引量:1
  • 3Furst M L, Gross J L, Statman R. Genus Distributions for Two Classes of Graphs. J. Combin. Theory (B), 1989, 46:22-36. 被引量:1
  • 4Tesar E H. Genus Distribution of Ringel Ladders. Discrete Math., 2000, 216:235-252. 被引量:1
  • 5Liu Y P. Advances in Combinatorial Maps. Beijing: Northern Jiaotong University Press, 2003. 被引量:1
  • 6Wan L X, Liu Y P. Orientable ,Embedding Distributions by Genus for Certain Type of Non-planar Graphs (I). Ars Combin., 2006, 79:97-105. 被引量:1
  • 7Wan L X, Liu Y P. On Embedding Genus Distribution of Ladders and Crosses. Applied Mathematics Letters, to appear. 被引量:1
  • 8Liu Y P. Embeddability in Graphs. Dordrecht, Boston, London: Kluwer Academic Publisher, 1995. 被引量:1
  • 9Tesar E H.Genus Distribution of Ringel Ladders[J].Discrete Math,2000,216:235-252. 被引量:1
  • 10Gross J L,Robbins D P,Tucker T W.Genus Distributions for Bouquets of Circles[J].J.Combin.Theory(B),1989,47:292-306. 被引量:1

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