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Disjoint subsets of a partially ordered group

✍ Scribed by J. Jakubík

Book ID
112647715
Publisher
Springer
Year
1969
Tongue
English
Weight
326 KB
Volume
20
Category
Article
ISSN
0003-889X

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📜 SIMILAR VOLUMES

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).