Strong Retracts and the Regularity of Strong Endomorphism Monoids of Graphs
Received:January 03, 1995  Revised:October 07, 1997
Key Words: graphs   strong endomorphism   monoid   strong retract   regular.  
Fund Project:
Author NameAffiliation
Fan Suohai Dept. of Math.
Jinan Univ.
Guangzhou 510632 
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Abstract:
      Graphs and their strong endomorphism monoids are considered in this paper. First, the regular elements of strong endomorphism monoids of graphs are characterized. Then necessary and sufficient conditions for these monoids to be regular are given. These results generalize that of U.Knauer and Li Weimin about the regularity of strong endomorphism monoids of finite graphs.
Citation:
DOI:10.3770/j.issn:1000-341X.1998.01.021
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