On the \({A_{\!\mathbb{C}}}\)-rank of multidigraphs

DOI10.1007/s00010-023-01020-6OpenAlexW4390225735MaRDI QIDQ6122416

Unnamed Author, Sasmita Barik

Publication date: 1 March 2024

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-023-01020-6

zbMATH Keywords

rankinertiamultidigraphcomplex adjacency matrix\({A_{\!\mathbb{C}}}\)-rank

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Directed graphs (digraphs), tournaments (05C20)

Cites Work

• A characterization of graphs with rank 5
• Spectral properties of complex unit gain graphs
• A characterization of graphs with rank 4
• On weighted directed graphs
• Oriented gain graphs, line graphs and eigenvalues
• On the nullity of graphs with pendent vertices
• Equalities and inequalities for inertias of Hermitian matrices with applications
• On optimal orientations of \(G\) vertex-multiplications
• Inertia of complex unit gain graphs
• A note on the nullity of unicyclic signed graphs
• Positive and negative inertia index of a graph
• Complex unit gain graphs of rank 2
• The inertia of weighted unicyclic graphs
• Large regular bipartite graphs with median eigenvalue 1
• A characterization of signed planar graphs with rank at most 4
• On the rank of weighted graphs
• On the nullity of graphs
• A new matrix representation of multidigraphs
• On the nullity of graphs with pendant trees

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