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DAM
2007
107views more  DAM 2007»
13 years 8 months ago
Eliminating graphs by means of parallel knock-out schemes
In 1997 Lampert and Slater introduced parallel knock-out schemes, an iterative process on graphs that goes through several rounds. In each round of this process, every vertex elim...
Hajo Broersma, Fedor V. Fomin, Rastislav Kralovic,...
CORR
2011
Springer
215views Education» more  CORR 2011»
13 years 9 days ago
Lasserre Hierarchy, Higher Eigenvalues, and Approximation Schemes for Quadratic Integer Programming with PSD Objectives
We present an approximation scheme for optimizing certain Quadratic Integer Programming problems with positive semidefinite objective functions and global linear constraints. Thi...
Venkatesan Guruswami, Ali Kemal Sinop
FOCS
2009
IEEE
14 years 3 months ago
Planarity Allowing Few Error Vertices in Linear Time
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
Ken-ichi Kawarabayashi
APPROX
2005
Springer
106views Algorithms» more  APPROX 2005»
14 years 2 months ago
Approximating the Bandwidth of Caterpillars
A caterpillar is a tree in which all vertices of degree three or more lie on one path, called the backbone. We present a polynomial time algorithm that produces a linear arrangeme...
Uriel Feige, Kunal Talwar
DISOPT
2010
132views more  DISOPT 2010»
13 years 8 months ago
General approximation schemes for min-max (regret) versions of some (pseudo-)polynomial problems
While the complexity of min-max and min-max regret versions of most classical combinatorial optimization problems has been thoroughly investigated, there are very few studies abou...
Hassene Aissi, Cristina Bazgan, Daniel Vanderpoote...