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一类斯泰勒三元系(STS)的上色数 被引量:1

UPPER CHROMATIC NUMBER OF A STEINER TRIPLE SYSTEM
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摘要 反超图及其上色数的概念是由Vitaly IVoloshin(1995) 提出来的. 该文主要研究斯泰勒三元系(Steiner Triple System ,简记为STS) 及其着色理论,构造了一类STS,并给出了它们的上色数. The notion of upper chromatic number of a hypergraph was introduced by Vitaly I Voloshin (1995). This paper, constructs a family of STS and gives their upper chromatic numbers.
出处 《曲阜师范大学学报(自然科学版)》 CAS 2000年第1期21-23,共3页 Journal of Qufu Normal University(Natural Science)
关键词 反超图 上色数 Steiner三元系 混合超图 着色 co_hypergraph upper chromatic number steiner triple system (STS)
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参考文献3

  • 1[1]Vitaly I Voloshin. On the upper chromatic number of a hypergaph[J]. Australasian Journal of Combinatorics, 1995, (11):25~45.
  • 2[2]Lorenzo Milazzo, Zsolt Tuza. Upper chromatic number of steiner triple system[J].Manuscript, 1995.
  • 3[3]Berge C. Graphs and hypergraphs[M]. North Holland, 1973.

同被引文献24

  • 1Voloshin V, Zhou H. Pseudo-chordal mixed hypergraphs [J]. Discrete Mathematics, 1999, 202: 239-248.
  • 2Lozovanu D, Voloshin V. Integer programming models for colorings of mixed hypergraphs [J]. Computer Science Journal of Moldova, 2000, 8: 64-74.
  • 3Berge C. Graphs and Hypergraphs [M]. North Holland: Amsterdam, 1973.
  • 4Berge C. Hypergraphs: Combinatorics of Finite Sets [M]. North Holland: Amsterdam, 1989.
  • 5Jensen T, Tort B. Graph Coloring Problems [M]. New York: Wiley Interscience, 1995.
  • 6Voloshin Vitaly . The mixed hypergraphs [J]. Computer Science Journal of Moldova, 1993, 1(1): 45-52.
  • 7Voloshin Vitaly. On the upper chromatic number of a hypergraph [J]. Australasian Journal of Combinatorics, 1995, 11(1): 25-45.
  • 8Jiang Tao, Mubayi Dhruv, Tuza Zsolt, Voloshin Vitaly, West Douglas B. The chromatic spectrum of mixed hypergraphs [J]. Graphs and Combinatorics, 2002, 18(3): 309-318.
  • 9Bulgaru Elena, Voloshin Vitaly. Mixed interval hypergraphs [J]. Discrete Applied Mathematics, 1997,77(1): 29-41.
  • 10Tuza Zsolt, Voloshin Vitaly. Uncolorable mixed hypergraphs [J]. Discrete Applied Mathematics, 2000,99(1): 209-227.

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