A directed graph version of strongly regular graphs
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Publication:1101124
DOI10.1016/0097-3165(88)90043-XzbMath0642.05025OpenAlexW1987434667MaRDI QIDQ1101124
Publication date: 1988
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0097-3165(88)90043-x
Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20)
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Cites Work
- A generalization of cyclic difference sets. I
- A generalization of cyclic difference sets. II
- Directed graphs with unique paths of fixed length
- On some solutions of \(A^k=dI+\lambda J\)
- \(X^k\)-digraphs
- A generalization of the matrix equation \(A^ 2=J\)
- The polynomial of a non-regular digraph
- The Uniqueness of the Triangular Association Scheme
- On a Characterization of the Triangular Association Scheme
- On Moore Graphs with Diameters 2 and 3
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item