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ALGORITHMICA
2010
112views more  ALGORITHMICA 2010»
13 years 5 months ago
Approximation Algorithms for Treewidth
Abstract. This paper presents algorithms whose input is an undirected graph, and whose output is a tree decomposition of width that approximates the optimal, the treewidth of that ...
Eyal Amir
SODA
2004
ACM
128views Algorithms» more  SODA 2004»
13 years 6 months ago
Equivalence of local treewidth and linear local treewidth and its algorithmic applications
We solve an open problem posed by Eppstein in 1995 [14, 15] and re-enforced by Grohe [16, 17] concerning locally bounded treewidth in minor-closed families of graphs. A graph has ...
Erik D. Demaine, Mohammad Taghi Hajiaghayi
APPROX
2010
Springer
189views Algorithms» more  APPROX 2010»
13 years 5 months ago
Approximating Sparsest Cut in Graphs of Bounded Treewidth
We give the first constant-factor approximation algorithm for Sparsest-Cut with general demands in bounded treewidth graphs. In contrast to previous algorithms, which rely on the f...
Eden Chlamtac, Robert Krauthgamer, Prasad Raghaven...
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
13 years 10 months ago
Approximation Schemes for Steiner Forest on Planar Graphs and Graphs of Bounded Treewidth
We give the first polynomial-time approximation scheme (PTAS) for the Steiner forest problem on planar graphs and, more generally, on graphs of bounded genus. As a first step, w...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi a...
PODS
2008
ACM
129views Database» more  PODS 2008»
14 years 5 months ago
Tree-width and functional dependencies in databases
Conjunctive query (CQ) evaluation on relational databases is NP-complete in general. Several restrictions, like bounded tree-width and bounded hypertree-width, allow polynomial ti...
Isolde Adler