Discrete Mathematics & Theoretical Computer Science, Vol 13, No 1 (2011)

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A de Bruijn — Erdős theorem and metric spaces

Ehsan Chiniforooshan, Vašek Chvátal


De Bruijn and Erdős proved that every noncollinear set of n points in the plane determines at least n distinct lines. Chen and Chvátal suggested a possible generalization of this theorem in the framework of metric spaces. We provide partial results in this direction.

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