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» Random knapsack in expected polynomial time
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STOC
2003
ACM
95views Algorithms» more  STOC 2003»
14 years 5 months ago
Random knapsack in expected polynomial time
In this paper, we present the first average-case analysis proving an expected polynomial running time for an exact algorithm for the 0/1 knapsack problem. In particular, we prove,...
René Beier, Berthold Vöcking
MFCS
2005
Springer
13 years 10 months ago
Coloring Sparse Random k-Colorable Graphs in Polynomial Expected Time
Abstract. Feige and Kilian [5] showed that finding reasonable approximative solutions to the coloring problem on graphs is hard. This motivates the quest for algorithms that eithe...
Julia Böttcher
CPC
2006
116views more  CPC 2006»
13 years 5 months ago
Finding Large Independent Sets in Polynomial Expected Time
We consider instances of the maximum independent set problem that are constructed according to the following semirandom model. Let Gn,p be a random graph, and let S be a set consis...
Amin Coja-Oghlan
IPCO
2007
126views Optimization» more  IPCO 2007»
13 years 6 months ago
The Smoothed Number of Pareto Optimal Solutions in Bicriteria Integer Optimization
Abstract. A well established heuristic approach for solving various bicriteria optimization problems is to enumerate the set of Pareto optimal solutions, typically using some kind ...
René Beier, Heiko Röglin, Berthold V&o...