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» On the Convergence of Bound Optimization Algorithms
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SODA
2004
ACM
87views Algorithms» more  SODA 2004»
15 years 5 months ago
Optimal space lower bounds for all frequency moments
We prove that any one-pass streaming algorithm which ( , )-approximates the kth frequency moment Fk, for any real k = 1 and any = 1 m , must use 1 2 bits of space, where m is th...
David P. Woodruff
SODA
1997
ACM
106views Algorithms» more  SODA 1997»
15 years 5 months ago
Optimal Bounds for Matching Routing on Trees
The permutation routing problem is studied for trees under the matching model. By introducing a novel and useful (so-called) caterpillar tree partition, we prove that any permutati...
Louxin Zhang
CORR
2008
Springer
150views Education» more  CORR 2008»
15 years 4 months ago
A Dynamic Programming Framework for Combinatorial Optimization Problems on Graphs with Bounded Pathwidth
In this paper we present an algorithmic framework for solving a class of combinatorial optimization problems on graphs with bounded pathwidth. The problems are NP-hard in general, ...
Mugurel Ionut Andreica
IPCO
2010
153views Optimization» more  IPCO 2010»
15 years 2 months ago
An Effective Branch-and-Bound Algorithm for Convex Quadratic Integer Programming
We present a branch-and-bound algorithm for minimizing a convex quadratic objective function over integer variables subject to convex constraints. In a given node of the enumerati...
Christoph Buchheim, Alberto Caprara, Andrea Lodi
AMC
2005
138views more  AMC 2005»
15 years 4 months ago
Optimal centers in branch-and-prune algorithms for univariate global optimization
We present an interval branch-and-prune algorithm for computing verified enclosures for the global minimum and all global minimizers of univariate functions subject to bound const...
D. G. Sotiropoulos, T. N. Grapsa