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» Contraction and Treewidth Lower Bounds
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UAI
2004
15 years 3 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»
15 years 2 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»
15 years 11 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
15 years 7 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
15 years 1 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