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arxiv: 1601.00928 · v2 · pith:EJVENQZDnew · submitted 2016-01-05 · 🧮 math.CO · math.NT

A greedy algorithm for B_h[g] sequences

classification 🧮 math.CO math.NT
keywords algorithmgreedyinfiniteintegerspositiveprovidessequencesequences
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For any positive integers $h\ge 2$ and $g\ge 1$, we present a greedy algorithm that provides an infinite $B_h[g]$ sequence with $a_n\le 2gn^{h+(h-1)/g}.$

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