In this paper, we investigate a relation between the equality constrained Knapsack and Group Knapsack problems. This relation concerns the periodicity of optimal solutions of the Knapsack problem. We study the smallest integer b\* such that for every b > b\*, the Knapsack problem of size b is equiva
The online knapsack problem: Advice and randomization
✍ Scribed by Böckenhauer, Hans-Joachim; Komm, Dennis; Královič, Richard; Rossmanith, Peter
- Book ID
- 122230446
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 289 KB
- Volume
- 527
- Category
- Article
- ISSN
- 0304-3975
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📜 SIMILAR VOLUMES
For several decades the standard algorithm for factoring polynomials f with rational coefficients has been the Berlekamp-Zassenhaus algorithm. The complexity of this algorithm depends exponentially on n, where n is the number of modular factors of f . This exponential time complexity is due to a com
a.M. (Fed. Rep.) Summary. We consider random access machines which read the input integer by integer (not bit by bit). For this computational model we prove a quadratic lower bound for the n-dimensional knapsack problem. For this purpose, we combine a method due to Paul and Simon [1] to apply decisi