On ranks of matrices associated with trees

DOI10.1007/s00373-002-0522-8zbMath1023.05093OpenAlexW2055396575MaRDI QIDQ1411108

Guantao Chen, Frank J. Hall, Zhongshan Li, Bing Wei

Publication date: 16 October 2003

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-002-0522-8

zbMATH Keywords

sign pattern matrixsymmetric minimal and maximal rankssymmetric tree sign pattern

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (6)

Essential sign change numbers of full sign pattern matrices ⋮ Minimum rank and maximum eigenvalue multiplicity of symmetric tree sign patterns ⋮ Minimum ranks of sign patterns and zero-nonzero patterns and point-hyperplane configurations ⋮ Rational realization of the minimum ranks of nonnegative sign pattern matrices ⋮ Rational realizations of the minimum rank of a sign pattern matrix ⋮ Sign patterns with minimum rank 2 and upper bounds on minimum ranks

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