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IPPS
2000
IEEE
13 years 12 months ago
On Optimal Fill-Preserving Orderings of Sparse Matrices for Parallel Cholesky Factorizations
In this paper, we consider the problem of nding llpreserving ordering of a sparse symmetric and positive de nite matrix such that the reordered matrix is suitable for parallel fac...
Wen-Yang Lin, Chuen-Liang Chen
ICALP
2009
Springer
14 years 7 months ago
Node-Weighted Steiner Tree and Group Steiner Tree in Planar Graphs
We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable ap...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Philip ...
APPROX
2006
Springer
88views Algorithms» more  APPROX 2006»
13 years 11 months ago
Weighted Sum Coloring in Batch Scheduling of Conflicting Jobs
Motivated by applications in batch scheduling of jobs in manufacturing systems and distributed computing, we study two related problems. Given is a set of jobs {J1, . . . , Jn}, w...
Leah Epstein, Magnús M. Halldórsson,...
MST
2010
98views more  MST 2010»
13 years 5 months ago
Why Almost All k-Colorable Graphs Are Easy to Color
Coloring a k-colorable graph using k colors (k ≥ 3) is a notoriously hard problem. Considering average case analysis allows for better results. In this work we consider the unif...
Amin Coja-Oghlan, Michael Krivelevich, Dan Vilench...
JMLR
2006
124views more  JMLR 2006»
13 years 7 months ago
A Direct Method for Building Sparse Kernel Learning Algorithms
Many kernel learning algorithms, including support vector machines, result in a kernel machine, such as a kernel classifier, whose key component is a weight vector in a feature sp...
Mingrui Wu, Bernhard Schölkopf, Gökhan H...