Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  843.52012
Autor:  Erdös, Paul
Title:  Equidistant points in the plane. (In English)
Source:  Geombinatorics 4, No.2, 48 (1994).
Review:  Let f(n) be the largest integer for which there are n distinct points x1,...,xn in the plane so that for every i, 1 \leq i \leq n there are at least f(n) points xj, 1 \leq j \leq n equidistant from xi.
The author asks for an improved estimation for f(n) (and offers a price).
Reviewer:  E.Quaisser (Potsdam)
Classif.:  * 52C10 Erdoes problems and related topics of discrete geometry
                   52A40 Geometric inequalities, etc. (convex geometry)
Keywords:  Erdös problem; equidistant points

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