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On unretractive graphs
Authors:Roland Kaschek  
Affiliation:a Information Science Research Centre, New Zealand
Abstract:The present paper proves necessary and sufficient conditions for both lexicographic products and arbitrary graphs to be unretractive. The paper also proves that the automorphism group of a lexicographic product of graphs is isomorphic to a wreath product of a monoid with a small category.
Keywords:Finite graph   Endomorphism   Unretractive   Core   Lexicographic product   Wreath product
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