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» Circle graphs and monadic second-order logic
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IANDC
2007
111views more  IANDC 2007»
14 years 11 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
15 years 1 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
118
Voted
POPL
1993
ACM
15 years 3 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
92
Voted
MFCS
1998
Springer
15 years 3 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 9 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...