期刊文献+

关于二次型图的完美性

On the Perfection for Quadric Form Graphs
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摘要 本文应用强完美图定理,解决了二次型图的完美图判别问题. In this paper, we solve the problem that whether a quadric form graph is a perfect graph by applying the strong perfect graph theorem.
作者 杨平 黄金钱
出处 《数学理论与应用》 2012年第4期58-60,共3页 Mathematical Theory and Applications
基金 湖南省教育厅资助重点科研项目(10A002) 长沙理工大学研究生科研创新项目
关键词 有限域 完美图 二次型图 Finite Field Perfect Graph Quadric Form Graph
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参考文献6

  • 1Godsil C. , Royle G. , Algebraic Graph Theory[M]. New York: Springer, 2001.
  • 2Chartrand G. , Zhang P. , Chromatic Graph Theory [ M ]. London : Taylor & Francis Group, 2009.
  • 3Brouwera A. E. , Cohen A. M. , Neumaier A. , Distance - Regular Graphs [ M ]. Berlin : Springer - Verlag, 1998.
  • 4Orel M. , Adjacency preservers, symmetric matrices, and cores[J]. J. Algebr Comb. , 2011, 35:633 -647.
  • 5Chudnovsky M. , Robertson, N. , Seymour P. D. , Thomas R. , The strong perfect graph theorem[J]. Ann. of Math., (2), 2006, 164(1) : 51 -229.
  • 6宋春伟.强完美图定理及相关的问题[J].数学进展,2008,37(2):153-162. 被引量:8

二级参考文献47

  • 1Berge, C., Farbung von Graphen, deren samtliche bzw. deren ungerade Kreise starr sind, Wiss. Z. Martin- Luther-Univ. Halle-Wittenberg Math.-Natur. Reihe, 1961, 10: 114-115.
  • 2Berge, C., Perfect graphs, Six Papers on Graph Theory: 1-21, Calcutta: Indian Statistical Institute, 1963.
  • 3Berge, C., Some classes of perfect graphs, Graph Theory and Theoretical Physics, 155-165, Academic Press, London, 1967.
  • 4Berge, C., Principes de Combinatoire, Dunod, Paris, 1968.
  • 5Berge, C. and Chvatal, V., Topics on Perfect Graphs, volume 88 of North-Holland Mathematics Studies, Annals of Discrete Mathematics, 21, North-Holland Publishing Co., Amsterdam, 1984.
  • 6Berge, C. and Ramlrez Alfonsln, J. L., Origins and Genesis, Perfect Graphs, Wiley-Intersci. Ser. Discrete Math. Optim., 1-12, Wiley, Chichester, 2001.
  • 7Berge, C., Introduction a. la Theorie des Hypergraphes, Les Presses de l'Universite de Montreal, Montreal,Que., 1973, Seminaire de Mathematiques Superieures, No. 51 (Ete 1971).
  • 8Berge, C., Graphs and Hypergraphs, North-Holland Publishing Co., Amsterdam, revised, edition, 1976, Translated from the French by Edward Minieka, North-Holland Mathematical Library, Vol. 6.
  • 9Chudnovsky, M., Berge Trigraphs and Their Applications, PhD Thesis, Princeton University, 2003.
  • 10Chudnovsky, M., Perfect graphs, Available at www.aimath.org/pastworkshops/perfectgraph.html

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