Monotone Paths in Geometric Triangulations

被引：0

作者：

Adrian Dumitrescu

Ritankar Mandal

Csaba D. Tóth

机构：

[1] University of Wisconsin–Milwaukee,Department of Computer Science

[2] California State University,Department of Mathematics

[3] Tufts University,Department of Computer Science

来源：

Theory of Computing Systems | 2018年 / 62卷

关键词：

Monotone path; Triangulation; Counting algorithm;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

(I) We prove that the (maximum) number of monotone paths in a geometric triangulation of n points in the plane is O(1.7864n). This improves an earlier upper bound of O(1.8393n); the current best lower bound is Ω(1.7003n). (II) Given a planar geometric graph G with n vertices, we show that the number of monotone paths in G can be computed in O(n2) time.

引用

页码：1490 / 1524

页数：34

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