Rotation distance is fixed-parameter tractable

被引:21
作者
Cleary, Sean [1 ,2 ]
John, Katherine St. [3 ,4 ]
机构
[1] CUNY City Coll, Dept Math, New York, NY 10031 USA
[2] CUNY, Grad Ctr, New York, NY 10031 USA
[3] CUNY Herbert H Lehman Coll, Dept Math & Comp Sci, Bronx, NY 10468 USA
[4] CUNY, Grad Ctr, Bronx, NY 10468 USA
基金
美国国家科学基金会;
关键词
Rotation distance; Analysis of algorithms; Computational complexity; Fixed parameter tractability; BINARY-TREES;
D O I
10.1016/j.ipl.2009.04.023
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Rotation distance between trees measures the number of simple operations it takes to transform one tree into another. There are no known polynomial-time algorithms for computing rotation distance. In the case of ordered rooted trees, we show that the rotation distance between two ordered trees is fixed-parameter tractable, in the parameter, k, the rotation distance. The proof relies on the kernelization of the initial trees to trees with size bounded by 5k. (C) 2009 Published by Elsevier B.V.
引用
收藏
页码:918 / 922
页数:5
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