๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On circles containing the maximum number of points

โœ Scribed by J. Akiyama; Y. Ishigami; M. Urabe; J. Urrutia


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
133 KB
Volume
151
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

โœฆ Synopsis


We define B(x, y) to be the disk in the plane which has the points x,y as its diametral end points. Let liB(n) [or/Tn(n)] be the largest number such that for every set [or every convex set]P of n points in R 2, there exist two points x,y ~ P for which B(x,y) contains liB(n) [or hB(n)] points of P. We show that liB(n) = hS(n) = F n/3 q + 1.


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