On some solutions of \(A^k=dI+\lambda J\)

DOI10.1016/0097-3165(77)90036-XzbMath0354.05022OpenAlexW2071654506MaRDI QIDQ1236543

Clement Wing Hong Lam

Publication date: 1977

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(77)90036-x

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Directed graphs (digraphs), tournaments (05C20)

Related Items (17)

The g-circulant solutions of \(A^ m=\lambda J\) ⋮ Efficient exhaustive listings of reversible one dimensional cellular automata ⋮ \(g\)-circulant solutions to the (0,1) matrix equation \(A^m=J_n\) ⋮ A directed graph version of strongly regular graphs ⋮ Directed strongly walk-regular graphs ⋮ Orderly algorithm to enumerate central groupoids and their graphs ⋮ On the matrix equation \(A^m=\lambda J\) ⋮ Tables of large graphs with given degree and diameter ⋮ On the \(g\)-circulant solutions to the matrix equation \(A^m=\lambda J\) ⋮ Directed graphs with unique paths of fixed length ⋮ A bibliography of graph equations ⋮ \(X^k\)-digraphs ⋮ A generalization of group difference sets and the matrix equation \(A^m=dI+\lambda(J)\) ⋮ On the g-circulant solutions to the matrix equation \(A^m=\lambda J\) ⋮ On the matrix equation \(A^l+A^{l+k}=J_n\) ⋮ On rational circulants satisfying \(A^ m=dI+\lambda J\) ⋮ On the g-circulant solutions to the matrix equation \(A^ m=\lambda J\). II

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 rational circulants satisfying \(A^2=dI+\lambda J\)
• Character sums and difference sets
• A generalization of the matrix equation \(A^ 2=J\)
• Cyclic difference sets
• Balanced incomplete block designs and Abelian difference sets
• A Survey of Difference Sets
• Roots and Canonical Forms for Circulant Matrices
• Notes on central groupoids

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