On variations of the subset sum problem
✍ Scribed by J.L. Ramírez Alfonsín
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 371 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0166-218X
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✦ Synopsis
In the well-known Subset Sum Problem, we are given positive integers a,, , a, and t and are to determine if some subset of the ai sums to t. We investigate the boundary between easy and hard variations of this problem. In particular, we consider the cases where the sequence 'A,~ .L' a,, ___ ,an is an arirnmeric progression, 8 chain or supermcredsmg and -w'here the ai may be replicated. We also consider related problems.
📜 SIMILAR VOLUMES
Given a set of n positive integers and a knapsack of capacity c; the Subset-Sum Problem is to find a subset the sum of which is closest to c without exceeding the value c: In this paper we present a fully polynomial approximation scheme which solves the Subset-Sum Problem with accuracy e in time Oðm