A de Bruijn - Erdős theorem and metric spaces

Details A de Bruijn - Erdős theorem and metric spaces A de Bruijn - Erdős theorem and metric spaces

2009-05-31

arxiv.org/abs/0906.0123v1

Mathematics

Combinatorics

Scientific paper

De Bruijn and Erd\H{o}s proved that every noncollinear set of n points in the
plane determines at least n distinct lines. Chen and Chv\'atal suggested a
possible generalization of this theorem in the framework of metric spaces. We
provide partial results in this direction.

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