Possible numbers of ones in 0-1 matrices with a given rank

Q. I. Hu; L. I. Yaqin; Xingzhi Zhan

doi:10.1080/03081080500094048

Possible numbers of ones in 0-1 matrices with a given rank

Q. I. Hu
, L. I. Yaqin
, Xingzhi Zhan^*

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

摘要

We determine the possible numbers of ones in a 0-1 matrix with given rank in the generic case and in the symmetric case. There are some unexpected phenomena. The rank 2 symmetric case is subtle.

源语言	英语
页（从-至）	435-443
页数	9
期刊	Linear and Multilinear Algebra
卷	53
期	6
DOI	https://doi.org/10.1080/03081080500094048
出版状态	已出版 - 11月 2005

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title = "Possible numbers of ones in 0-1 matrices with a given rank",

abstract = "We determine the possible numbers of ones in a 0-1 matrix with given rank in the generic case and in the symmetric case. There are some unexpected phenomena. The rank 2 symmetric case is subtle.",

keywords = "0-1 Matrix, Number of ones, Rank, Symmetric matrix",

author = "Hu, \{Q. I.\} and Yaqin, \{L. I.\} and Xingzhi Zhan",

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AU - Yaqin, L. I.

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N2 - We determine the possible numbers of ones in a 0-1 matrix with given rank in the generic case and in the symmetric case. There are some unexpected phenomena. The rank 2 symmetric case is subtle.

AB - We determine the possible numbers of ones in a 0-1 matrix with given rank in the generic case and in the symmetric case. There are some unexpected phenomena. The rank 2 symmetric case is subtle.

KW - 0-1 Matrix

KW - Number of ones

KW - Rank

KW - Symmetric matrix

UR - https://www.scopus.com/pages/publications/24344488055

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DO - 10.1080/03081080500094048

M3 - 文章

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EP - 443

JO - Linear and Multilinear Algebra

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IS - 6

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Possible numbers of ones in 0-1 matrices with a given rank

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