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» Graphs of Bounded Treewidth can be Canonized in AC1
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FOCS
1998
IEEE
15 years 1 months ago
The Complexity of Acyclic Conjunctive Queries
This paper deals with the evaluation of acyclic Boolean conjunctive queries in relational databases. By well-known results of Yannakakis [1981], this problem is solvable in polynom...
Georg Gottlob, Nicola Leone, Francesco Scarcello
61
Voted
FCT
2005
Springer
15 years 3 months ago
Exact Algorithms for Graph Homomorphisms
Graph homomorphism, also called H-coloring, is a natural generalization of graph coloring: There is a homomorphism from a graph G to a complete graph on k vertices if and only if ...
Fedor V. Fomin, Pinar Heggernes, Dieter Kratsch
81
Voted
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...
EVOW
2007
Springer
15 years 3 months ago
Generation of Tree Decompositions by Iterated Local Search
Many instances of NP-hard problems can be solved efficiently if the treewidth of their corresponding graph is small. Finding the optimal tree decompositions is an NP-hard problem a...
Nysret Musliu
WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
14 years 7 months ago
Minimum Dominating Set Approximation in Graphs of Bounded Arboricity
Abstract. Since in general it is NP-hard to solve the minimum dominating set problem even approximatively, a lot of work has been dedicated to central and distributed approximation...
Christoph Lenzen, Roger Wattenhofer