Concyclic Intervals in the Plane

被引：0
|
作者：
Solymosi, Jozsef [1 ,2 ]
White, Ethan Patrick [1 ]
机构：
[1] Univ British Columbia, Vancouver, BC, Canada
[2] Obuda Univ, Budapest, Hungary
来源：
DISCRETE & COMPUTATIONAL GEOMETRY | 2024年 / 72卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Planar arrangements; Point-circle incidences; Polynomial method; SEGMENTS;
D O I：
10.1007/s00454-023-00515-y
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We study arrangements of intervals in R-2 for which many pairs are concyclic. We show that any set of intervals with many concyclic pairs must have underlying algebraic and geometric structure. In the most general case, we prove that the endpoints of many intervals belong to a single bicircular quartic curve.
引用
收藏
页码：1010 / 1027
页数：18
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