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Disjoint odd integer subsets having a constant even sum

✍ Scribed by Hikoe Enomoto; Mikio Kano

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 213 KB
Volume: 137
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(93)e0128-q

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✦ Synopsis

We prove that for positive integers n and k and a positive even integer m, the odd integer set {1,3,5 ..... 2n-l} contains k disjoint subsets having a constant sum m if and only if 4k<~m<~n2/k, n2-mk#2 and either m#4n-2 or n#4k.

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