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射影平面上标号图的辅助图

AUXILIARY GRAPHS OF PROJECTIVE PLANAR SIGNED GRAPHS
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摘要 刘彦佩教授给出了平面图的辅助图.推广平面图的辅助图到射影平面,给出标号图的射影平面性的如下刻画:给定标号图G对应的辅助图是平衡的当且仅当G是射影平面图. The planarity auxiliary graph of a graph is given by Yanpei Liu.This paper generalizes the planarity auxiliary graph to projective planar.The projective planarity of signed graphs is characterized as follows:the corresponding auxiliary graph of a given signed graph G is balanced iff the graph G is projective planar.
出处 《系统科学与数学》 CSCD 北大核心 2010年第9期1251-1258,共8页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学(10871021)基金资助
关键词 射影平面 Projective plane tree graphs
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参考文献12

  • 1Kuratowski K. Sur le probleme de courbes gauches en topologies. Fund. Math., 1930, 15: 271-283.
  • 2Wu W J. On the planar embedding of linear graphs I. J. Syst. Sci. Math., 1985, 5: 290-320.
  • 3刘彦佩.图的平面性判定与平面嵌入[J].应用数学学报,1979,(2):350-365.
  • 4Archdeacon D, Siran J. Characterizing planarity using theta graphs. J. Graph Theory, 1998, 27: 17-20.
  • 5Archdeacon D. A Kuratowski theorem for the projective plane. Y. Graph Theory, 1981, 5: 243-246.
  • 6Zaslavsky T. The projective-planar signed graphs. Discrete Math., 1993, 113:233 -247.
  • 7Zaslavsky T. Chromatic invariants of signed graphs. Discrete Math., 1982, 42: 287-312.
  • 8Archdeacon D. A characterization of projective-planar signed graphs. Discrete Math., 2005, 290: 109-116.
  • 9Glover H H, Huneke J P. Cubic irreducible graphs for the projective plane. Discrete Math., 1975, 13: 341-355.
  • 10Glover H H, Huneke J P. Graphs with bounded valency that do not embed in the projective plane. Discrete Math., 1977, 18: 155-165.

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