~roughout this paper we use the following notatians: The cardinality of the finite set Y is denoted by ISI -.s& B8, . I s den&e finite or infinite sets of positive integers. If & is a finite or infinite set of positive integers, then S(d) denotes the set of the distinct positive integers n that can
Subset sums
β Scribed by N. Alon
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 522 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
Let n be a large integer and A be a subset of [n] = {1, . . . , n}. The set S A is the collection of the subset sums of A. In this note, we discuss new results (and proofs) on few well-known problems concerning S A . In particular, we improve an estimate of Alon and ErdΕs concerning monochromatic re