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EJC
2010
13 years 5 months ago
Dualities in full homomorphisms
Abstract. In this paper we study dualities of graphs and, more generally, relational structures with respect to full homomorphisms, that is, mappings that are both edge- and non-ed...
Richard N. Ball, Jaroslav Nesetril, Ales Pultr
DAGSTUHL
2008
13 years 6 months ago
Dualities for Constraint Satisfaction Problems
In a nutshell, a duality for a constraint satisfaction problem equates the existence of one homomorphism to the non-existence of other homomorphisms. In this survey paper, we give ...
Andrei A. Bulatov, Andrei A. Krokhin, Benoit Laros...
EJC
2008
13 years 4 months ago
Grad and classes with bounded expansion III. Restricted graph homomorphism dualities
We study restricted homomorphism dualities in the context of classes with bounded expansion. This presents a generalization of restricted dualities obtained earlier for bounded deg...
Jaroslav Nesetril, Patrice Ossona de Mendez
COMBINATORICA
2007
148views more  COMBINATORICA 2007»
13 years 4 months ago
Colored graphs without colorful cycles
A colored graph is a complete graph in which a color has been assigned to each edge, and a colorful cycle is a cycle in which each edge has a different color. We first show that ...
Richard N. Ball, Ales Pultr, Petr Vojtechovsk&yacu...
MFCS
2007
Springer
13 years 11 months ago
NP by Means of Lifts and Shadows
We show that every NP problem is polynomially equivalent to a simple combinatorial problem: the membership problem for a special class of digraphs. These classes are defined by me...
Gábor Kun, Jaroslav Nesetril