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1991•International Journal of Mathematics and Mathematical SciencesOpen access

A non‐uniqueness theorem in the theory of Voronoi sets

Mark E Jones

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Abstract

It is shown that two distinct, bounded, open subsets of ℝ2 may possess the same Voronoi set.

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What this paper is about

It is shown that two distinct, bounded, open subsets of ℝ2 may possess the same Voronoi set.

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Available abstract

It is shown that two distinct, bounded, open subsets of ℝ2 may possess the same Voronoi set.

Key concepts: Voronoi diagram, Uniqueness, Mathematics, Bounded function, Set (abstract data type), Combinatorics, Discrete mathematics, Computer science

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