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GD
2008
Springer
15 years 3 days ago
Crossing and Weighted Crossing Number of Near-Planar Graphs
A nonplanar graph G is near-planar if it contains an edge e such that G − e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from di...
Sergio Cabello, Bojan Mohar
APPROX
2007
Springer
99views Algorithms» more  APPROX 2007»
15 years 5 months ago
Small Approximate Pareto Sets for Bi-objective Shortest Paths and Other Problems
We investigate the problem of computing a minimum set of solutions that approximates within a specified accuracy the Pareto curve of a multiobjective optimization problem. We show...
Ilias Diakonikolas, Mihalis Yannakakis
83
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COCOON
2006
Springer
15 years 2 months ago
Reconstructing Evolution of Natural Languages: Complexity and Parameterized Algorithms
In a recent article, Nakhleh, Ringe and Warnow introduced perfect phylogenetic networks--a model of language evolution where languages do not evolve via clean speciation--and form...
Iyad A. Kanj, Luay Nakhleh, Ge Xia
IPCO
1998
152views Optimization» more  IPCO 1998»
15 years 12 days ago
Approximation Bounds for a General Class of Precedence Constrained Parallel Machine Scheduling Problems
Abstract. A well studied and difficult class of scheduling problems concerns parallel machines and precedence constraints. In order to model more realistic situations, we consider ...
Alix Munier, Maurice Queyranne, Andreas S. Schulz
ISAAC
2005
Springer
122views Algorithms» more  ISAAC 2005»
15 years 4 months ago
Fast k-Means Algorithms with Constant Approximation
In this paper we study the k-means clustering problem. It is well-known that the general version of this problem is NP-hard. Numerous approximation algorithms have been proposed fo...
Mingjun Song, Sanguthevar Rajasekaran