SCIENTIFIC RESULTS OF THE GERMAN ATLANTI
✦ LIBER ✦
A small generating set for the 3-BD closed set of block sizes ≥ 6
✍ Scribed by Shaopu Zhang; Jianguo Lei; Hairong Kong
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 128 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
✦ Synopsis
Let v, k be positive integers and k ≥ 3, then K k = {v : v ≥ k} is a 3-BD closed set. Two finite generating sets of 3-BD closed sets K 4 and K 5 are obtained by H. Hanani [5] and Qiurong Wu [12] respectively. In this article we show that if v ≥ 6, then v ∈ B 3 (K, 1), where K = {6, 7, . . . , 41, 45, 46, 47, 51, 52, 53, 83, 84}{22, 26}; that is, we show that K is a generating set for K 6 . Finally we show that v ∈ B 3 (6, 20) for all v ∈ K{35, 39, 40, 45}.
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