A Polynomial-Time Algorithm for Max-Min Partitioning of Ladders

被引:0
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作者
R. Becker
I. Lari
M. Lucertini
B. Simeone
机构
[1] Department of Mathematics,
[2] Department of Statistics,undefined
[3] Italy,undefined
[4] Department of Electrical Engineering,undefined
[5] Italy,undefined
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关键词
Short Path; Solution Time; Minimum Weight; Dynamic Programming Algorithm; Short Path Problem;
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摘要
Given a grid graph with two rows, an arbitrary number N of columns (briefly, a ladder ) and a weight function defined on its vertex set V , one wants to partition V into a given number p of connected components, so as to maximize the smallest weight of a component. We present an O(N4 pmax  {p,log  N}) -time algorithm, which combines dynamic programming with pre-processing and search techniques. An O(N) -time algorithm for the case p=2 is also given.
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页码:353 / 374
页数:21
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