Algorithms for fair partitioning of convex polygons

被引:5
|
作者
Armaselu, Bogdan [1 ]
Daescu, Ovidiu [1 ]
机构
[1] Univ Texas Dallas, Dept Comp Sci, Richardson, TX 75083 USA
关键词
Algorithm; Fair partitioning; Convex polygon;
D O I
10.1016/j.tcs.2015.08.003
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper we study the problem of partitioning a convex polygon P of n vertices into m polygons of equal area and perimeter. We give an algorithm for m = 2 that runs in 0(n) time, and an algorithm for m = 2(k), where k is an integer, that runs in O ((2n)(k)) time. These are the first algorithms to solve this problem. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:351 / 362
页数:12
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