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EJC
2010
15 years 4 months ago
Partitions versus sets: A case of duality
In a recent paper, Amini et al. introduced a general framework to prove duality theorems between tree decompositions and their dual combinatorial object. They unify all known ad-h...
Laurent Lyaudet, Frédéric Mazoit, St...
JCT
2008
81views more  JCT 2008»
15 years 4 months ago
Algebraic characterization of uniquely vertex colorable graphs
Abstract. The study of graph vertex colorability from an algebraic perspective has introduced novel techniques and algorithms into the field. For instance, it is known that k-color...
Christopher J. Hillar, Troels Windfeldt
AML
2000
101views more  AML 2000»
15 years 4 months ago
Local order property in nonelementary classes
We study a local version of the order property in several frameworks, with an emphasis on frameworks where the compactness theorem fails: (1) Inside a fixed model, (2) for classes ...
Rami P. Grossberg, Olivier Lessmann
JSYML
2010
120views more  JSYML 2010»
14 years 11 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
AIML
2004
15 years 5 months ago
Complexity of Strict Implication
abstract. The aim of the present paper is to analyze the complexity of strict implication (together with falsum, conjunction and disjunction). We prove that Ladner's Theorem r...
Félix Bou