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推广的奇轮的圆色数 被引量:1

CIRCULAR CHROMATIC NUMBERS OF GENERALIZED ODD WHEELS
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摘要 图G的圆色数(又称"星色数")xc(G)是Vince在1988年提出的,它是图的色数 的自然推广.本文由奇轮出发构造了一族平面图,并证明了此类图的圆色数恰恰介于2和 3之间,填补了该领域的空白. The circular chromatic number(also called the star chromatic number) Xc(G) of a graph G is a natural generalization of the chromatic number of a graph which was introduced by Vince in 1988. In this paper, we construct a family of planar graphs with circular chromatic number just between 2 and 3 based on odd wheels, thus we filled the space of this field.
出处 《应用数学学报》 CSCD 北大核心 2005年第1期86-99,共14页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(19831080)山东省自然科学基金(Z2000A02)资助项目.
关键词 圆色数 星色数 平面图 证明 推广 填补 构造 类图 领域 planar graph odd wheels circular chromatic number
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参考文献6

  • 1Vince A. Star Chromatic Number. J. Graph Theory, 1988, 12:551-559.
  • 2Bondy J A, Hell P. A Note on the Star Chromatic Number. J. Graph Theory, 1990, 14:479-482.
  • 3Gao G, Wang Y, Zhou H. Star Chromatic Numbers of Some Planar Graphs. J. Graph Theory, 1998,27:33-42.
  • 4Steffen E, Zhu X. On the Star Chromatic Numbers of Graphs. Combinatorica, 1996, 16:439-448.
  • 5Sun L. Star Coloring and Fractional Coloring of Graphs. Doctor Thesis, Shandong University, Jinan,2000 (in Chinese).
  • 6Zhu X. Circular Chromatic Number: a Saurvey. Discrete Math., 2001, 229: 371-410.

同被引文献8

  • 1邦迪JA 默蒂USR.图论及其应用[M].北京:科学出版社,1984..
  • 2Vince A. Star chromatic number[J]. Journal of Graph Theory, 1988, 12(4):551
  • 3Bondy J A, Pavol Hell. A note on the star chromatic number[J]. Journal of Graph Theory, 1990, 14(4):479
  • 4Zhu X. Circular chromatic number: a survey[J]. Discrete Mathematics, 2001, 229:371
  • 5Guichard D R. Acyclic graph coloring and the complexity of the ster chromatic number [J]. Journal of Graph Theory, 1993,17 : 129
  • 6Zhu X. Star chromatic number and products of graphs[J]. Journal of Graph Theory, 1992, 16(6).557
  • 7Gao G, Wang Y, Zhou H. Star chromatic numbers of some planar graphs[J]. Journal of Graph Theory, 1998,27:33
  • 8Li D M. The star chromatic numbers of some planar graphs derived from wheels[J]. Acta Mathematic Sinica,English Series, 2002, 18(1):173

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