The number of extreme pairs of finite point-sets in Euclidean spaces

DOI10.1016/0097-3165(86)90075-0zbMath0611.51002OpenAlexW1984350972MaRDI QIDQ1087828

Gerd Stöckl, Herbert Edelsbrunner

Publication date: 1986

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(86)90075-0

zbMATH Keywords

Euclidean spaceextreme pairs of finite point-sets

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Other designs, configurations (05B30) Configuration theorems in linear incidence geometry (51A20)

Related Items

More on k-sets of finite sets in the plane ⋮ On stable line segments in all triangulations of a planar point set ⋮ The number of extreme triples of a planar point set

Cites Work

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• The number of small semispaces of a finite set of points in the plane
• On the combinatorial classification of nondegenerate configurations in the plane
• On the number of line separations of a finite set in the plane
• Facing up to arrangements: face-count formulas for partitions of space by hyperplanes