期刊文献+

强自同态半群构成并群的图族 被引量:3

Graphs with Strong Endomorphism Monoid being the Union of Groups
在线阅读 下载PDF
导出
摘要 该文给出强自同态半群构成并群的图族的特征,同时文中也明确刻划了其中每个群的单位元. In this paper, the author gives a characterization for a graph G such that sEnd(G), the monoid of the strong endomorphisms of G, is the union of groups. In particular, if this is the case, the author explicitly finds the identity element of each group in sEnd(G).
作者 李为民
出处 《数学物理学报(A辑)》 CSCD 北大核心 2006年第4期570-577,共8页 Acta Mathematica Scientia
关键词 自同态 半群 Graph Endomorphism Semigroup Group.
  • 相关文献

参考文献10

  • 1Clifford A H, Preston G B. The Algebraic Theory of Semigroups. Providence: Amer Math Soc, 1961
  • 2Harary F. Graph Theory. London: Addison-Wesley, 1969
  • 3Howie J M. An Introduction to Semigroup Theory. New York: Academic Press, 1976
  • 4Li W M. Green's relations on the strong endomorphism monoid of a graph. Semigroup Forum, 1993, 47:209-214
  • 5Li W M. Idempotent endomorphisms of a graph. Discrete Mathematics, 2000, 223:379-386
  • 6Li W M. Inverses and pseudo-inverses of a strong endomorpism of a graph. Acta Mathematica Sinica,New Series, 1995, 11:372-380
  • 7Miller D D, Clifford A H. Regular D-classes in semigroups. Trans Amer Math Soc, 1956, 82:270-280
  • 8Molchanov V A. Semigroups of mappings on graphs. Semigroup Forum, 1983, 27:155-199
  • 9Nummert U A. The monoid of strict endomorphisms of wreath products of graphs. Math Notes, 1987, 41:483-490
  • 10Knauer U, Nieporte M. Endomorphisms of graphs Ⅰ, the monoid of strong endomorphisms. Arch Math,1989, 52:607-614

同被引文献7

  • 1李为民.图的完全正则强自同态[J].南京大学学报(自然科学版),1994,30(2):199-208. 被引量:2
  • 2Li W. Graphs with Regular Monoid [ J ]. Discrete Mathematics, 2003, 265:105118.
  • 3Li W. Graphs with regular monoid[J].Discrete Mathematics, 2003,265: 105-118.
  • 4Yah H, Fan S. Weaky s-ark transitive graphs[J]. Disc Math, 2008,308: 2643-2646.
  • 5W. Li. Graphs with Regular Monoid[J]. Discrete Mathe- matics, 2003, (265): 105- 118.
  • 6H. Yan,S. Fan. Weaky s--ark transitive graphs[J]. Disc Math, 2008,(308) :2643-2646.
  • 7樊锁海.图的 P-正则自同态幺半群(英文)[J].数学杂志,2000,20(2):161-167. 被引量:5

引证文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部