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COMBINATORICS
2007
112views more  COMBINATORICS 2007»
14 years 10 months ago
Reversal Distance for Strings with Duplicates: Linear Time Approximation using Hitting Set
In the last decade there has been an ongoing interest in string comparison problems; to a large extend the interest was stimulated by genome rearrangement problems in computationa...
Petr Kolman, Tomasz Walen
SIAMJO
2010
107views more  SIAMJO 2010»
14 years 4 months ago
Error Bounds for Some Semidefinite Programming Approaches to Polynomial Minimization on the Hypercube
We consider the problem of minimizing a polynomial on the hypercube [0, 1]n and derive new error bounds for the hierarchy of semidefinite programming approximations to this problem...
Etienne de Klerk, Monique Laurent
APPROX
2008
Springer
142views Algorithms» more  APPROX 2008»
15 years 2 days ago
Approximating Maximum Subgraphs without Short Cycles
We study approximation algorithms, integrality gaps, and hardness of approximation, of two problems related to cycles of "small" length k in a given graph. The instance f...
Guy Kortsarz, Michael Langberg, Zeev Nutov
EUROPAR
2008
Springer
14 years 11 months ago
Bi-objective Approximation Scheme for Makespan and Reliability Optimization on Uniform Parallel Machines
We study the problem of scheduling independent tasks on a set of related processors which have a probability of failure governed by an exponential law. We are interested in the bi-...
Emmanuel Jeannot, Erik Saule, Denis Trystram
FOCS
2000
IEEE
15 years 2 months ago
A polylogarithmic approximation of the minimum bisection
A bisection of a graph with n vertices is a partition of its vertices into two sets, each of size n/2. The bisection cost is the number of edges connecting the two sets. The proble...
Uriel Feige, Robert Krauthgamer