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Towards the characterization of finite homomorphism-homogeneous digraphs
by
Dragan Mašulović
Department of Mathematics and Informatics, University of Novi Sad, Serbia
A structure is called homogeneous if every isomorphism between finite substructures of the structure extends to an automorphism of the structure. Recently, P. J. Cameron and J. Nesetril introduced a relaxed version of homogeneity: we say that a structure is homomorphism-homogeneous if every homomorphism between finite substructures of the structure extends to an endomorphism of the structure. In this talk we present a partial characterization of homomorphism-homogeneous finite digraphs where vertices are allowed to have loops.
Date received: April 23, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawc-33.