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» Homomorphism bounded classes of graphs
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EJC
2008
14 years 10 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
58
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EJC
2006
14 years 10 months ago
Homomorphism bounded classes of graphs
A class C of graphs is said to be H-bounded if each graph in the class C admits a homomorphism to H. We give a general necessary and sufficient condition for the existence of boun...
Timothy Marshall, Reza Nasraser, Jaroslav Nesetril
JCT
2007
140views more  JCT 2007»
14 years 10 months ago
Homomorphisms and edge-colourings of planar graphs
We conjecture that every planar graph of odd-girth 2k + 1 admits a homomorphism to Cayley graph C(Z2k+1 2 , S2k+1), with S2k+1 being the set of (2k + 1)vectors with exactly two co...
Reza Naserasr
ISAAC
2007
Springer
146views Algorithms» more  ISAAC 2007»
15 years 4 months ago
Bounded Tree-Width and CSP-Related Problems
We study the complexity of structurally restricted homomorphism and constraint satisfaction problems. For every class of relational structures C, let LHOM(C, _) be the problem of d...
Tommy Färnqvist, Peter Jonsson
JSYML
2010
120views more  JSYML 2010»
14 years 5 months ago
First order properties on nowhere dense structures
A set A of vertices of a graph G is called d-scattered in G if no two d-neighborhoods of (distinct) vertices of A intersect. In other words, A is d-scattered if no two distinct ver...
Jaroslav Nesetril, Patrice Ossona de Mendez