On the matrix equation \(A^l+A^{l+k}=J_n\)

DOI10.1016/S0024-3795(97)10072-6zbMath0933.15023OpenAlexW2318102383MaRDI QIDQ1307521

Yaokun Wu, Qiao Li

Publication date: 4 April 2000

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(97)10072-6

zbMATH Keywords

digraphKautz digraphmatrix equation(0,1)-matrixline digraph iterations

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Matrices of integers (15B36)

Related Items (6)

Hoffman polynomials of nonnegative irreducible matrices and strongly connected digraphs ⋮ An approach to solving \(A^{k}=J-I\) ⋮ On Moore bipartite digraphs ⋮ The underlying line digraph structure of some (0, 1)-matrix equations ⋮ On the weak distance-regularity of Moore-type digraphs ⋮ Characteristic polynomials of digraphs having a semi-free action

Cites Work

• Unnamed Item
• Large fault-tolerant interconnection networks
• Directed graphs with unique paths of fixed length
• On some solutions of \(A^k=dI+\lambda J\)
• Line Digraph Iterations and the (d, k) Digraph Problem
• Digraphs of degree 3 and order close to the moore bound

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