Page 1

Displaying 1 – 1 of 1

Showing per page

A De Bruijn-Erdős theorem for 1 - 2 metric spaces

Václav Chvátal (2014)

Czechoslovak Mathematical Journal

A special case of a combinatorial theorem of De Bruijn and Erdős asserts 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 assertion in metric spaces with appropriately defined lines. We prove this generalization in all metric spaces where each nonzero distance equals 1 or 2 .

Currently displaying 1 – 1 of 1

Page 1