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Lower bounds for the simplexity of the n-cube

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 نشر من قبل Alexey Glazyrin
 تاريخ النشر 2009
  مجال البحث
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 تأليف Alexey Glazyrin




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In this paper we prove a new asymptotic lower bound for the minimal number of simplices in simplicial dissections of $n$-dimensional cubes. In particular we show that the number of simplices in dissections of $n$-cubes without additional vertices is at least $(n+1)^{frac {n-1} 2}$.



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