Sciweavers

20
Voted
LMCS
2006

The monadic second-order logic of graphs XVI : Canonical graph decompositions

13 years 7 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 general result covering canonical graph decompositions like the modular decomposition and the Tutte decomposition of 2-connected graphs into 3-connected components. As an application, we prove that the set of graphs having the same cycle matroid as a given 2-connected graph can be defined from this graph by Monadic Second-Order formulas.
Bruno Courcelle
Added 14 Dec 2010
Updated 14 Dec 2010
Type Journal
Year 2006
Where LMCS
Authors Bruno Courcelle
Comments (0)