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.
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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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