Compact Labelings For Efficient First-Order Model-Checking
COURCELLE, Bruno
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
Institut universitaire de France [IUF]
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
Institut universitaire de France [IUF]
GAVOILLE, Cyril
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
Algorithmics for computationally intensive applications over wide scale distributed platforms [CEPAGE]
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
Algorithmics for computationally intensive applications over wide scale distributed platforms [CEPAGE]
KANTÉ, Mamadou Moustapha
Laboratoire d'Informatique, de Modélisation et d'optimisation des Systèmes [LIMOS]
Laboratoire d'Informatique, de Modélisation et d'optimisation des Systèmes [LIMOS]
COURCELLE, Bruno
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
Institut universitaire de France [IUF]
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
Institut universitaire de France [IUF]
GAVOILLE, Cyril
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
Algorithmics for computationally intensive applications over wide scale distributed platforms [CEPAGE]
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
Algorithmics for computationally intensive applications over wide scale distributed platforms [CEPAGE]
KANTÉ, Mamadou Moustapha
Laboratoire d'Informatique, de Modélisation et d'optimisation des Systèmes [LIMOS]
< Leer menos
Laboratoire d'Informatique, de Modélisation et d'optimisation des Systèmes [LIMOS]
Idioma
en
Article de revue
Este ítem está publicado en
Journal of Combinatorial Optimization. 2011-01-07, vol. 21, n° 1, p. 19--46
Springer Verlag
Resumen en inglés
We consider graph properties that can be checked from labels, i.e., bit sequences, of logarithmic length attached to vertices. We prove that there exists such a labeling for checking a first-order formula with free set ...Leer más >
We consider graph properties that can be checked from labels, i.e., bit sequences, of logarithmic length attached to vertices. We prove that there exists such a labeling for checking a first-order formula with free set variables in the graphs of every class that is \emph{nicely locally cwd-decomposable}. This notion generalizes that of a \emph{nicely locally tree-decomposable} class. The graphs of such classes can be covered by graphs of bounded \emph{clique-width} with limited overlaps. We also consider such labelings for \emph{bounded} first-order formulas on graph classes of \emph{bounded expansion}. Some of these results are extended to counting queries.< Leer menos
Palabras clave en inglés
First-Order Logic
Labeling Scheme
Local Clique-Width
Local Tree-Width
Locally Bounded Clique-Width.
Locally Bounded Clique-Width
Proyecto ANR
Décompositions des graphes et algorithmes - ANR-06-BLAN-0148
Orígen
Importado de HalCentros de investigación