Classes of graphs with minimum skew rank 4

DOI10.1016/j.laa.2013.09.022zbMath1282.05139OpenAlexW2019525826MaRDI QIDQ2435566

Sudipta Mallik, Bryan L. Shader

Publication date: 19 February 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2013.09.022

zbMATH Keywords

treebipartite graphskew-symmetric matrixouterplanar graphcolumn spaceskew rank

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (7)

Failed skew zero forcing on a graph ⋮ Isodual and Self-dual Codes from Graphs ⋮ On the rank of a real skew symmetric matrix described by an oriented graph ⋮ Bicyclic oriented graphs with skew-rank 6 ⋮ On graphs of minimum skew rank 4 ⋮ Relation between the skew-rank of an oriented graph and the independence number of its underlying graph ⋮ On the relationship between the skew-rank of an oriented graph and the rank of its underlying graph

Cites Work

• Unnamed Item
• The characteristic polynomial and the matchings polynomial of a weighted oriented graph
• Skew-adjacency matrices of graphs
• Minimum rank of skew-symmetric matrices described by a graph
• The minimum rank of symmetric matrices described by a graph: a survey
• Advanced Linear Algebra

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