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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
MFCS
2009
Springer
16 years 19 days ago
Bounds on Non-surjective Cellular Automata
Abstract. Cellular automata (CA) are discrete, homogeneous dynamical systems. Non-surjective one-dimensional CA have nite words with no preimage (called orphans), pairs of dieren...
Jarkko Kari, Pascal Vanier, Thomas Zeume
ANTS
2006
Springer
94views Algorithms» more  ANTS 2006»
15 years 9 months ago
Fast Bounds on the Distribution of Smooth Numbers
Let P(n) denote the largest prime divisor of n, and let (x, y) be the number of integers n x with P(n) y. In this paper we present improvements to Bernstein's algorithm, whi...
Scott T. Parsell, Jonathan Sorenson
CPAIOR
2008
Springer
15 years 7 months ago
Integrating Symmetry, Dominance, and Bound-and-Bound in a Multiple Knapsack Solver
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, b...
Alex S. Fukunaga