Relation between the skew-rank of an oriented graph and the rank of its underlying graph
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Publication:5964257
DOI10.1016/j.ejc.2015.12.005zbMath1331.05097OpenAlexW2204805700MaRDI QIDQ5964257
Xiaobin Ma, Dein Wong, Fenglei Tian
Publication date: 29 February 2016
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ejc.2015.12.005
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Cites Work
- Unnamed Item
- Unnamed Item
- Bicyclic oriented graphs with skew-rank 2 or 4
- Some inequalities on the skew-spectral radii of oriented graphs
- Skew spectra of oriented bipartite graphs
- A characterization of graphs with rank 5
- The characteristic polynomial and the matchings polynomial of a weighted oriented graph
- Skew-adjacency matrices of graphs
- On the skew energy of orientations of hypercubes
- A characterization of graphs with rank 4
- Characteristic polynomials of skew-adjacency matrices of oriented graphs
- On the nullity of a graph with cut-points
- 3-regular digraphs with optimum skew energy
- The rank of a graph after vertex addition
- Oriented unicyclic graphs with the first \(\lfloor\frac {n-9}{2}\rfloor\) largest skew energies
- On the skew spectra of Cartesian products of graphs
- Minimal skew energy of oriented unicyclic graphs with fixed diameter
- The skew energy of a digraph
- Skew spectra of oriented graphs
- Minimal skew energy of oriented unicyclic graphs with a perfect matching
- 4-regular oriented graphs with optimum skew energy
- 4-regular oriented graphs with optimum skew energies
- On the nullity of graphs
- Skew Spectrum of the Cartesian Product of an Oriented Graph with an Oriented Hypercube
- The skew-rank of oriented graphs
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