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What is the largest number of vertices allowed in a high-dimensional Voronoi diagram?

asked 2023-05-30 03:35:48 +0000

devzero gravatar image

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answered 2023-05-30 03:44:02 +0000

plato gravatar image

There is no specific limit to the number of vertices in a high-dimensional Voronoi diagram since it depends on factors like the number and distribution of the input points. However, as the dimensionality increases, the complexity and sparsity of the Voronoi diagram also increase exponentially, making it more difficult to compute and visualize. Therefore, it is often impractical or even impossible to construct high-dimensional Voronoi diagrams for large numbers of input points with current technology and algorithms.

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Asked: 2023-05-30 03:35:48 +0000

Seen: 12 times

Last updated: May 30 '23