Intersecting Curves in the Plane

被引：0
|
作者：
Dhruv Mubayi*
机构：
[1] School of Mathematics,
[2] Georgia Institute of Technology,undefined
[3] Atlanta,undefined
[4] GA 30332-0160,undefined
[5] USA e-mail: mubayi@math.gatech.edu,undefined
来源：
Graphs and Combinatorics | 2002年 / 18卷
关键词：
Key words. Crossing numbers, Intersecting families of curves;
D O I：
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中图分类号：
学科分类号：
摘要：
 We prove that for every family of n pairwise intersecting simple closed planar curves in general position, at least (4/5)n2−O(n) points lie on more than one curve. This improves the previous lower bound of (3/4)n2−O(n) due to Richter and Thomassen.
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页码：583 / 589
页数：6
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