Constant time generation of derangements

被引:9
|
作者
Korsh, JF [1 ]
LaFollette, PS [1 ]
机构
[1] Temple Univ, Dept CIS, Philadelphia, PA 19122 USA
关键词
algorithms; combinatorial problems; loopless; derangements; Gray code; fixed points;
D O I
10.1016/j.ipl.2004.02.006
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper presents the first constant time generation algorithm for derangements-permutations with no fixed points. Each derangement is obtained from its predecessor by making either one transposition or one rotation of three elements. It also generalizes this to permutations with a bounded number of fixed points. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:181 / 186
页数:6
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