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DAM
1999
169views more  DAM 1999»
15 years 5 months ago
Approximating the Weight of Shallow Steiner Trees
This paper deals with the problem of constructing Steiner trees of minimum weight with diameter bounded by d, spanning a given set of vertices in a graph. Exact solutions or logar...
Guy Kortsarz, David Peleg
WAOA
2010
Springer
251views Algorithms» more  WAOA 2010»
15 years 4 months ago
How to Play Unique Games on Expanders
In this paper, we improve a result by Arora, Khot, Kolla, Steurer, Tulsiani, and Vishnoi on solving the Unique Games problem on expanders. Given a (1-)-satisfiable instance of Uniq...
Konstantin Makarychev, Yury Makarychev
STOC
2006
ACM
114views Algorithms» more  STOC 2006»
16 years 6 months ago
Linear time low tree-width partitions and algorithmic consequences
Classes of graphs with bounded expansion have been introduced in [15], [12]. They generalize both proper minor closed classes and classes with bounded degree. For any class with b...
Jaroslav Nesetril, Patrice Ossona de Mendez
WG
2009
Springer
16 years 22 days ago
The Parameterized Complexity of Some Minimum Label Problems
We study the parameterized complexity of several minimum label graph problems, in which we are given an undirected graph whose edges are labeled, and a property Π, and we are ask...
Michael R. Fellows, Jiong Guo, Iyad A. Kanj
ISAAC
2005
Springer
111views Algorithms» more  ISAAC 2005»
15 years 11 months ago
Boosting Spectral Partitioning by Sampling and Iteration
A partition of a set of n items is a grouping of the items into k disjoint classes of equal size. Any partition can be modeled as a graph: the items become the vertices of the grap...
Joachim Giesen, Dieter Mitsche