On the 0–1 matrices whose squares are 0–1 matrices

On the 0–1 matrices whose squares are 0–1 matrices
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DOI:
10.1016/j.laa.2009.12.033
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发表时间:
2010-06
影响因子:
1.1
通讯作者:
Honglin Wu
Honglin Wu
中科院分区:
数学3区
文献类型:
--
作者:
Honglin Wu

文献摘要

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本文研究了平方仍为0-1矩阵的0-1矩阵,并确定了这类矩阵中最大的1个数。最大化矩阵也被指定。这解决了詹所提出的问题的一个特殊情况。
We study the 0–1 matrices whose squares are still 0–1 matrices and determine the maximal number of ones in such a matrix. The maximizing matrices are also specified. This solves a special case of a problem posed by Zhan.