Excess in arrangements of segments

被引：0

作者：

Sharir, M ^{[1
]}

机构：

[1] NYU,COURANT INST MATH SCI,NEW YORK,NY 10012

来源：

INFORMATION PROCESSING LETTERS | 1996年 / 58卷 / 05期

基金：

美国国家科学基金会;

关键词：

segment intersection; computational geometry; combinatorial geometry;

D O I：

10.1016/0020-0190(96)00065-8

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Let S be a set of n line segments in the plane. The excess of S is the number of repetitions of segments of S along the boundary of the same face of A(S), summed over all segments and faces. We show that the excess of S is at most O(n log log n), improving a previous O(n log n) bound given by Aronov and Sharir (1994).

引用

页码：245 / 247

页数：3

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