On the Cardinality of Sets in $R^d$ Obeying a Slightly Obtuse Angle Bound

DOI10.1137/21M1403163MaRDI QIDQ5074949

Robert J. McCann, Tongseok Lim

Publication date: 10 May 2022

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

Full work available at URL: https://arxiv.org/abs/2007.13871

zbMATH Keywords

combinatorial geometrycardinalityeffective boundsDanzerGrünbaumacute setsErdöscriterion for convex positionFürediobtuse angle bounds

Mathematics Subject Classification ID

Combinatorial inequalities (05A20) Other designs, configurations (05B30) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Erd?s problems and related topics of discrete geometry (52C10) Extremal combinatorics (05D99)

Related Items (1)

Maximizing expected powers of the angle between pairs of points in projective space

Cites Work

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• On the Distribution of Values of Angles Determined by Coplanar Points
• Curvature Measures
• Proofs from THE BOOK
• Too Acute to Be True: The Story of Acute Sets
• NOTE ON THE NUMBER OF OBTUSE ANGLES IN POINT SETS
• On an Extremum Problem in the Plane

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