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具有完全正则自同态半群的分裂图(英文)

Split Graphs with Completely Regular Endomorphism Monoids
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摘要 本文给出了具有完全正则自同态半群的分裂图的结构特征.其证明方法有望应用于其他图族自同态半群的正则性及完全正则性的研究. In this paper, split graphs with complete endomorphism-regularity are characterized explicitly. Hopefully, the main idea of the proofs can also be used for other classes of graphs.
作者 李为民
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2006年第2期253-263,共11页 数学研究与评论(英文版)
关键词 自同态 正则性 分裂图 endomorphism regularity split graph,
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参考文献12

  • 1FOLDES F, HAMMER P H. Split graphs [C].in: Proc. 8th South-eastern Conf. on Combinatorics,Graph Theory and Computing,F.Hoffman et al. (eds),Louisiana, Baton Rouge,1977,311-315.
  • 2HARARY F. Graph Theory [M]. Addison-Wesley, Resding, 1969.
  • 3HOWIE J M, An Introduction to Semigroup Theory [M]. Academic Press, New York-London, 1976.
  • 4KLAVZAR S. Absolute retracts of split graphs [J]. Discrete Math., 1994, 134: 75-84.
  • 5KNAUER U, BOTTCHER M. Endomorphism spectra of graphs [J]. Discrete Math., 1992, 109: 45-57.
  • 6KNAUER U, NIEPORTE M. Endomorphisms of graphs Ⅰ, The monoid of strong endomorphisms [J]. Arch.Math., 1989, 52: 607-614.
  • 7LI Wei-min, CHEN Jian-fei. Endomorphism-regularity of split graphs [J]. European J. Combin., 2001, 22:207-216.
  • 8LI Wei-min. Green's relations on the endomorphism monoid of a graph [J]. Math. Slovaea, 1995, 45: 335-347.
  • 9LI Wei-min. A regular endomorphism of a graph and its inverses [J]. Mathematika, 1994, 41: 189-198.
  • 10MARKI L. Problems raised at the problem session of the Colloquium on Sem igrou ps in Szeged, August 1987[J]. Semigroup Forum, 1988, 37: 367-373.

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