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» Circle graphs and monadic second-order logic
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IANDC
2007
111views more  IANDC 2007»
14 years 9 months ago
Expressiveness and complexity of graph logic
We investigate the complexity and expressive power of a spatial logic for reasoning about graphs. This logic was previously introduced by Cardelli, Gardner and Ghelli, and provide...
Anuj Dawar, Philippa Gardner, Giorgio Ghelli
CSL
2008
Springer
14 years 11 months ago
On Counting Generalized Colorings
Abstract. The notion of graph polynomials definable in Monadic Second Order Logic, MSOL, was introduced in [Mak04]. It was shown that the Tutte polynomial and its generalization, a...
Tomer Kotek, Johann A. Makowsky, Boris Zilber
POPL
1993
ACM
15 years 1 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
73
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MFCS
1998
Springer
15 years 1 months ago
Facial Circuits of Planar Graphs and Context-Free Languages
It is known that a language is context-free iff it is the set of borders of the trees of recognizable set, where the border of a (labelled) tree is the word consisting of its leaf ...
Bruno Courcelle, Denis Lapoire
SODA
2010
ACM
235views Algorithms» more  SODA 2010»
15 years 6 months ago
Algorithmic Lower Bounds for Problems Parameterized by Clique-width
Many NP-hard problems can be solved efficiently when the input is restricted to graphs of bounded tree-width or clique-width. In particular, by the celebrated result of Courcelle,...
Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtano...