On the expressiveness of subset-sum representations
β Scribed by Lucian Ilie; Arto Salomaa
- Publisher
- Springer-Verlag
- Year
- 2000
- Tongue
- English
- Weight
- 77 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0001-5903
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π SIMILAR VOLUMES
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 i
In this paper, we investigate representations of sets of integers as subset sums of other sets of minimal size, achieving results on the nature of the representing set as well as providing several reformulations of the problem. We apply one of these reformulations to prove a conjecture and extend a
Lipkin, E., On subset sums of r-sets, Discrete Mathematics 114 (1993) 3677377. A finite set of distinct integers is called an r-set if it contains at least r elements not divisible by 4 for each 4 > 2. Let f(n, r) denote the maximum cardinality of an r-set A c (1,2, , n} having no subset sum Caiai