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» Contraction and Treewidth Lower Bounds
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UAI
2004
13 years 6 months ago
A Complete Anytime Algorithm for Treewidth
In this paper, we present a Branch and Bound algorithm called QuickBB for computing the treewidth of an undirected graph. This algorithm performs a search in the space of perfect ...
Vibhav Gogate, Rina Dechter
ESA
2010
Springer
172views Algorithms» more  ESA 2010»
13 years 6 months ago
Algorithmic Meta-theorems for Restrictions of Treewidth
Abstract. Possibly the most famous algorithmic meta-theorem is Courcelle's theorem, which states that all MSO-expressible graph properties are decidable in linear time for gra...
Michael Lampis
SODA
2010
ACM
235views Algorithms» more  SODA 2010»
14 years 2 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...
SOFSEM
2005
Springer
13 years 10 months ago
Discovering Treewidth
Abstract. Treewidth is a graph parameter with several interesting theoretical and practical applications. This survey reviews algorithmic results on determining the treewidth of a ...
Hans L. Bodlaender
EJC
2008
13 years 5 months ago
On digraph coloring problems and treewidth duality
It is known that every constraint-satisfaction problem (CSP) reduces, and is in fact polynomially equivalent, to a digraph coloring problem. By carefully analyzing the constructio...
Albert Atserias