Points with large \(\alpha \)-depth

DOI10.1016/j.jcta.2008.10.003zbMath1168.51300OpenAlexW2049395806MaRDI QIDQ1024376

Itay Ben-Dan, Rom Pinchasi, Ran Ziv

Publication date: 17 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jcta.2008.10.003

zbMATH Keywords

measurepointshalving lines

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Partitions of sets (05A18) Other designs, configurations (05B30) Configuration theorems in linear incidence geometry (51A20)

Cites Work

• Equipartition of two measures by a 4-fan
• Opposite-quadrant depth in the plane
• Some combinatorial and algorithmic applications of the Borsuk-Ulam theorem
• Crossing patterns of semi-algebraic sets
• Partitioning with two lines in the plane
• Polygon Retrieval
• Simultaneous partitions of measures by \(k\)-fans

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