✦ LIBER ✦

On sums of subsets of a set of integers

✍ Scribed by N. Alon; G. Freiman

Publisher: Springer-Verlag
Year: 1988
Tongue: English
Weight: 452 KB
Volume: 8
Category: Article
ISSN: 0209-9683
DOI: 10.1007/bf02189086

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On subset sums of r-sets

✍ E. Lipkin 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 727 KB

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

On Optimal Subset Representations of Int

On Optimal Subset Representations of Integer Sets

✍ Mike Develin 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 121 KB

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

Disjoint subsets of integers having a co

Disjoint subsets of integers having a constant sum

✍ Kiyoshi Ando; Severino Gervacio; Mikio Kano 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 262 KB

We prove that for positive integers n, m and k, the set (1, 2, . , n} of integers contains k disjoint subsets having a constant sum m if and only if 2k -1 G m c n(n + 1)/(2k).

On large families of subsets of the set

On large families of subsets of the set of the integers not exceedingN

✍ Cécile Dartyge; Elie Mosaki; András Sárközy 📂 Article 📅 2008 🏛 Springer US 🌐 English ⚖ 473 KB

On sums of powers of integers

✍ Roger Cook 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 447 KB

On sums of sequences of integers. II

✍ A. Balog; A. Sárközy 📂 Article 📅 1984 🏛 Akadmiai Kiad 🌐 English ⚖ 382 KB