Bicyclic oriented graphs with skew-rank 6

DOI10.1016/j.amc.2015.08.105zbMath1410.05080OpenAlexW1538418302MaRDI QIDQ670855

Yong Lu, Qiannan Zhou, Li-Gong Wang

Publication date: 20 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.08.105

zbMATH Keywords

oriented graphskew-adjacency matrixskew-rankbicyclic oriented graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Structural characterization of families of graphs (05C75) Directed graphs (digraphs), tournaments (05C20)

Related Items (12)

Relation between the inertia indices of a complex unit gain graph and those of its underlying graph ⋮ Complex unit gain bicyclic graphs with rank 2, 3 or 4 ⋮ Complex unit gain graphs of rank 2 ⋮ On the determinant of the Laplacian matrix of a complex unit gain graph ⋮ The rank of a signed graph in terms of the rank of its underlying graph ⋮ Inertia indices of a complex unit gain graph in terms of matching number ⋮ The rank of a complex unit gain graph in terms of the rank of its underlying graph ⋮ Bounds for the rank of a complex unit gain graph in terms of its maximum degree ⋮ Some mixed graphs with \(H\)-rank 4, 6 or 8 ⋮ 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 ⋮ Skew-rank of an oriented graph in terms of the rank and dimension of cycle space of its underlying graph

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• On a conjecture about tricyclic graphs with maximal energy
• The skew-rank of oriented graphs
• More on the minimum skew-rank of graphs

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