Title
Compact labelings for efficient first-order model-checking
Abstract
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 nicely locally clique-width-decomposable. This notion generalizes that of a nicely locally tree-decomposable class. The graphs of such classes can be covered by graphs of bounded clique-width with limited overlaps. We also consider such labelings for bounded first-order formulas on graph classes of bounded expansion. Some of these results are extended to counting queries.
Year
DOI
Venue
2008
10.1007/s10878-009-9260-7
Clinical Orthopaedics and Related Research
Keywords
DocType
Volume
First-order logic,Labeling scheme,Local clique-width,Local tree-width,Locally bounded clique-width
Journal
21
Issue
ISSN
Citations 
1
Journal of Combinatorial Optimisation 21(1):19-46(2011)
0
PageRank 
References 
Authors
0.34
22
3
Name
Order
Citations
PageRank
Bruno Courcelle13418388.00
Cyril Gavoille21526114.20
Mamadou Moustapha Kanté317220.93