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» Dualities in full homomorphisms
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EJC
2008
13 years 6 months ago
Generalised dualities and maximal finite antichains in the homomorphism order of relational structures
The motivation for this paper is three-fold. First, we study the connectivity properties of the homomorphism order of directed graphs, and more generally for relational structures...
Jan Foniok, Jaroslav Nesetril, Claude Tardif
TCS
2010
13 years 4 months ago
CSP duality and trees of bounded pathwidth
We study non-uniform constraint satisfaction problems definable in monadic Datalog stratified by the use of non-linearity. We show how such problems can be described in terms of...
Catarina Carvalho, Víctor Dalmau, Andrei A....
EJC
2008
13 years 6 months ago
Majority constraints have bounded pathwidth duality
We study certain constraint satisfaction problems which are the problems of deciding whether there exists a homomorphism from a given relational structure to a fixed structure with...
Víctor Dalmau, Andrei A. Krokhin
CPC
2006
132views more  CPC 2006»
13 years 6 months ago
Duality in Infinite Graphs
The adaption of combinatorial duality to infinite graphs has been hampered by the fact that while cuts (or cocycles) can be infinite, cycles are finite. We show that these obstruc...
Henning Bruhn, Reinhard Diestel
CORR
2007
Springer
119views Education» more  CORR 2007»
13 years 6 months ago
Minimum Cost Homomorphisms to Locally Semicomplete and Quasi-Transitive Digraphs
For digraphs G and H, a homomorphism of G to H is a mapping f : V (G)→V (H) such that uv ∈ A(G) implies f(u)f(v) ∈ A(H). If, moreover, each vertex u ∈ V (G) is associated ...
Arvind Gupta, Gregory Gutin, Mehdi Karimi, Eun Jun...