Distinct distances with \(\ell_p\) metrics

DOI10.1016/j.comgeo.2021.101785zbMath1479.52027OpenAlexW3163450514MaRDI QIDQ824324

Polly Matthews Jr.

Publication date: 15 December 2021

Published in: Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.comgeo.2021.101785

zbMATH Keywords

distinct distancesdiscrete geometrygeometric incidencesdistance metrics

Mathematics Subject Classification ID

Erd?s problems and related topics of discrete geometry (52C10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Erdős distinct distances problem in the plane
• The number of unit distances is almost linear for most norms
• On distinct sums and distinct distances.
• Distance sets of well-distributed planar point sets
• A sum-product estimate in finite fields, and applications
• Sets in \(\mathbb{R}^d\) determining \(k\) taxicab distances
• Sets with few distinct distances do not have heavy lines
• Cutting algebraic curves into pseudo-segments and applications
• New bounds in Balog-Szemerédi-Gowers theorem
• Crossing Numbers and Hard Erdős Problems in Discrete Geometry
• Distinct distances in the complex plane
• On Sets of Distances of n Points
• Distinct distances in the plane

This page was built for publication: Distinct distances with \(\ell_p\) metrics