Minimum ranks of sign patterns and zero–nonzero patterns and point–hyperplane configurations

Author:

Fang WeiORCID,Gao Wei,Gao Yubin,Gong Fei,Jing Guangming,Li Zhongshan,Shao Yanling,Zhang Lihua

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference28 articles.

1. Geometric Realization of Set Systems and Probabilistic Communication Complexity;Alon,1985

2. Rational realizations of the minimum rank of a sign pattern matrix;Arav;Linear Algebra Appl.,2005

3. Sign patterns that require almost unique rank;Arav;Linear Algebra Appl.,2009

4. Rational solutions of certain matrix equations;Arav;Linear Algebra Appl.,2009

5. The minimum ranks of sign patterns via sign vectors and oriented matroid duality;Arav;Electron. J. Linear Algebra,2015

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. 4 × 4 Irreducible sign pattern matrices that require four distinct eigenvalues;Linear Algebra and its Applications;2024-01

2. Matroids and the Minimum Rank Problem for Matrix Patterns;The American Mathematical Monthly;2020-10-20

3. A remark on ranks of sign patterns;Linear Algebra and its Applications;2020-05

4. Rank conditions for sign patterns that allow diagonalizability;Discrete Mathematics;2020-05

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