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» Improved Algorithms for the k Maximum-Sums Problems
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COMPGEOM
2001
ACM
15 years 1 months ago
Segment intersection searching problems in general settings
We consider segment intersection searching amidst (possibly intersecting) algebraic arcs in the plane. We show how to preprocess n arcs in time O(n2+ ) into a data structure of si...
Vladlen Koltun
88
Voted
FOCS
2009
IEEE
15 years 4 months ago
Symmetry and Approximability of Submodular Maximization Problems
Abstract— A number of recent results on optimization problems involving submodular functions have made use of the ”multilinear relaxation” of the problem [3], [8], [24], [14]...
Jan Vondrák
ESA
2006
Springer
103views Algorithms» more  ESA 2006»
15 years 1 months ago
Greedy in Approximation Algorithms
The objective of this paper is to characterize classes of problems for which a greedy algorithm finds solutions provably close to optimum. To that end, we introduce the notion of k...
Julián Mestre
STOC
1999
ACM
125views Algorithms» more  STOC 1999»
15 years 2 months ago
Rounding Algorithms for a Geometric Embedding of Minimum Multiway Cut
Given an undirected graph with edge costs and a subset of k ≥ 3 nodes called terminals, a multiway, or k-way, cut is a subset of the edges whose removal disconnects each termina...
David R. Karger, Philip N. Klein, Clifford Stein, ...
ICALP
2010
Springer
15 years 2 months ago
Thresholded Covering Algorithms for Robust and Max-min Optimization
The general problem of robust optimization is this: one of several possible scenarios will appear tomorrow, but things are more expensive tomorrow than they are today. What should...
Anupam Gupta, Viswanath Nagarajan, R. Ravi