Acta mathematica scientia,Series A

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Graphs with Strong Endomorphism Monoid being the Union of Groups

Li Weimin

  

  1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240
  • Received:2004-09-02 Revised:2006-02-13 Online:2006-08-25 Published:2006-08-25
  • Contact: Li Weimin

Abstract: In this paper, the author gives a characterization for a graph G such that s End(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 s End(G).

Key words: Graph, Endomorphism, Semigroup, Group

CLC Number: 

  • 05C25
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