A Lower Bound for Heilbronn's Triangle Problem in d Dimensions

DOI10.1137/S0895480100365859zbMath0980.51017DBLPjournals/siamdm/Barequet01WikidataQ64112811 ScholiaQ64112811MaRDI QIDQ2719164

Gill Barequet

Publication date: 21 June 2001

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

zbMATH Keywords

lower boundHeilbronn's triangle problem

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (11)

The average‐case area of Heilbronn‐type triangles* ⋮ Large triangles in the \(d\)-dimensional unit cube ⋮ \(\alpha\)-concave hull, a generalization of convex hull ⋮ Heilbronn triangle‐type problems in the unit square [0,1²] ⋮ Heilbronn's problem of eight points in the square ⋮ Generalizations of Heilbronn's Triangle Problem ⋮ Distributions of points in the unit square and large \(k\)-gons ⋮ Distributions of points in \(d\) dimensions and large \(k\) -point simplices ⋮ Point sets in the unit square and large areas of convex hulls of subsets of points ⋮ The on-line Heilbronn's triangle problem ⋮ Generalizations of Heilbronn's triangle problem

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