PERMUTATIONS AS PRODUCT OF PARALLEL TRANSPOSITIONS

被引：3
|
作者：
Albert, Chase [1 ]
Li, Chi-Kwong [1 ]
Strang, Gilbert [2 ]
Yu, Gexin [1 ]
机构：
[1] Coll William & Mary, Dept Math, Williamsburg, VA 23185 USA
[2] MIT, Dept Math, Cambridge, MA 02139 USA
来源：
SIAM JOURNAL ON DISCRETE MATHEMATICS | 2011年 / 25卷 / 03期
基金：
美国国家科学基金会;
关键词：
banded permutation; factorizaton; sorting network; BANDED MATRICES;
D O I：
10.1137/100807478
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It was conjectured that a permutation matrix with bandwidth b can be written as a product of no more than 2b - 1 permutation matrices of bandwidth 1. In this note, two proofs are given to affirm the conjecture.
引用
收藏
页码：1412 / 1417
页数：6
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