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.
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页码:351 / 362
页数:12
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Steinhaus H., 1948, ECONOMETRICA, V16, P101, DOI DOI 10.1016/j.mathsocsci.2017.09.004