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

页码：1412 / 1417

页数：6

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