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LMCS
2006
119views more  LMCS 2006»
13 years 5 months ago
The monadic second-order logic of graphs XVI : Canonical graph decompositions
This article establishes that the split decomposition of graphs introduced by Cunnigham, is definable in Monadic Second-Order Logic.This result is actually an instance of a more ge...
Bruno Courcelle
CSL
2005
Springer
13 years 10 months ago
The Modular Decomposition of Countable Graphs: Constructions in Monadic Second-Order Logic
We show that the modular decomposition of a countable graph can be defined from this graph, given with an enumeration of its set of vertices, by formulas of Monadic Second-Order l...
Bruno Courcelle, Christian Delhommé
JAPLL
2008
101views more  JAPLL 2008»
13 years 5 months ago
Circle graphs and monadic second-order logic
A circle graph is the intersection graph of a set of chords of a circle. If a circle graph is prime for the split (or join) decomposition defined by Cunnigham, it has a unique rep...
Bruno Courcelle
POPL
1993
ACM
13 years 9 months ago
Graph Types
e data structures are abstractions of simple records and pointers. They impose a shape invariant, which is verified at compiletime and exploited to automatically generate code fo...
Nils Klarlund, Michael I. Schwartzbach