Maximally repeated sub-patterns of a point set

점집합의 최대 반복 패턴

  • Published : 2005.11.01

Abstract

We answer a question raised by P. Brass on the number of maximally repeated sub-patterns in a set of n points in $\mathbb{R}^{d}$. We show that is number, which was conjectured to be polynomial, is in fact $\Theta(2^{\frac{n}{2}})$ in the worst case, regardless of the dimension d.

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