On the distribution of distances in finite sets in the plane

DOI10.1016/0012-365X(85)90162-1zbMath0591.52014OpenAlexW1984221423MaRDI QIDQ1074869

B. George

Publication date: 1985

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(85)90162-1

zbMATH Keywords

convex polygonEuclidean planehyperbolic planefinite point setconvex n-gonkth largest distance

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10) Length, area and volume in real or complex geometry (51M25) Polytopes and polyhedra (52Bxx)

Related Items (7)

On large distances in planar sets ⋮ The two largest distances in finite planar sets ⋮ Small distances in convex polygons ⋮ On the graph of large distances ⋮ The shortest distance among points in general position. ⋮ Unnamed Item ⋮ The multiplicity of the two smallest distances among points

Cites Work

• The Number of Furthest Neighbour Pairs of a Finite Planar Set

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