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» A new upper bound for the bipartite Ramsey problem
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STOC
1995
ACM
115views Algorithms» more  STOC 1995»
15 years 9 months ago
Geometric lower bounds for parametric matroid optimization
We relate the sequence of minimum bases of a matroid with linearly varying weights to three problems from combinatorial geometry: k-sets, lower envelopes of line segments, and con...
David Eppstein
MP
2006
88views more  MP 2006»
15 years 6 months ago
Bounds on linear PDEs via semidefinite optimization
Using recent progress on moment problems, and their connections with semidefinite optimization, we present in this paper a new methodology based on semidefinite optimization, to ob...
Dimitris Bertsimas, Constantine Caramanis
FSTTCS
2008
Springer
15 years 7 months ago
Dynamic matrix rank with partial lookahead
We consider the problem of maintaining information about the rank of a matrix M under changes to its entries. For an n × n matrix M, we show an amortized upper bound of O(nω−1)...
Telikepalli Kavitha
ANOR
2011
131views more  ANOR 2011»
15 years 1 months ago
A branch-and-bound algorithm for hard multiple knapsack problems
Abstract The multiple knapsack problem (MKP) is a classical combinatorial optimization problem. A recent algorithm for some classes of the MKP is bin-completion, a bin-oriented, br...
Alex S. Fukunaga
EOR
2007
87views more  EOR 2007»
15 years 6 months ago
The TV-Break Packing Problem
Instead of selling advertisement spots one by one, some French satellite channels decided in 2002 to modify their commercial offer in order to sell packages of spots. These new g...
Thierry Benoist, Eric Bourreau, Benoît Rotte...