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JUCS
2006
87views more  JUCS 2006»
15 years 7 months ago
Eliminating Redundant Join-Set Computations in Static Single Assignment
: The seminal algorithm developed by Ron Cytron, Jeanne Ferrante and colleagues in 1989 for the placement of -nodes in a control flow graph is still widely used in commercial compi...
Angela French, José Nelson Amaral
MP
2006
80views more  MP 2006»
15 years 7 months ago
Minimizing Polynomials via Sum of Squares over the Gradient Ideal
A method is proposed for finding the global minimum of a multivariate polynomial via sum of squares (SOS) relaxation over its gradient variety. That variety consists of all points ...
Jiawang Nie, James Demmel, Bernd Sturmfels
CORR
2002
Springer
144views Education» more  CORR 2002»
15 years 7 months ago
Polynomial Time Data Reduction for Dominating Set
Dealing with the NP-complete Dominating Set problem on graphs, we demonstrate the power of data reduction by preprocessing from a theoretical as well as a practical side. In parti...
Jochen Alber, Michael R. Fellows, Rolf Niedermeier
MOR
2000
90views more  MOR 2000»
15 years 6 months ago
A PTAS for Minimizing the Total Weighted Completion Time on Identical Parallel Machines
We consider the problem of scheduling a set of n jobs on m identical parallel machines so as to minimize the weighted sum of job completion times. This problem is NP-hard in the s...
Martin Skutella, Gerhard J. Woeginger
ORDER
2007
89views more  ORDER 2007»
15 years 6 months ago
On-line Chain Partitioning of Up-growing Interval Orders
On-line chain partitioning problem of on-line posets has been open for the past 20 years. The best known on-line algorithm uses 5w −1 4 chains to cover poset of width w. Felsner ...
Patrick Baier, Bartlomiej Bosek, Piotr Micek