標題: | DISJOINT ODD INTEGER SUBSETS HAVING A CONSTANT ODD SUM |
作者: | FU, HL HU, WH 應用數學系 Department of Applied Mathematics |
公開日期: | 15-四月-1994 |
摘要: | We prove that for positive k, n and m, the set {1, 3,...,2n - 1} of odd integers contains k disjoint subsets having a constant odd sum m if and only if 9(k - 1) less-than-or-equal-to m less-than-or-equal-to 2n - 1, or 9k less-than-or-equal-to m less-than-or-equal-to n2/k and n2 - mk not-equal 2. |
URI: | http://hdl.handle.net/11536/2533 |
ISSN: | 0012-365X |
期刊: | DISCRETE MATHEMATICS |
Volume: | 128 |
Issue: | 1-3 |
起始頁: | 143 |
結束頁: | 150 |
顯示於類別: | 期刊論文 |