Jacobsthal Numbers and Associated Hessenberg Matrices.
Jacobsthal Numbers and Associated Hessenberg Matrices.
Summary: In this paper, we define two \(n\times n\) Hessenberg matrices, one of which corresponds to the adjacency matrix of a bipartite graph. We then investigate the relationships between the Hessenberg matrices and the Jacobsthal numbers. Moreover, we give Maple algorithms to verify our results.
- Siirt University Turkey
- Dicle University Turkey
Bipartite graph, Jacobsthal number, Hessenberg matrix, Graphs and linear algebra (matrices, eigenvalues, etc.), Special sequences and polynomials, bipartite graph, Bipartite Graph, Hessenberg Matrix, Permanent, Determinants, permanents, traces, other special matrix functions, Jacobsthal Number, permanent, Combinatorial aspects of matrices (incidence, Hadamard, etc.)
Bipartite graph, Jacobsthal number, Hessenberg matrix, Graphs and linear algebra (matrices, eigenvalues, etc.), Special sequences and polynomials, bipartite graph, Bipartite Graph, Hessenberg Matrix, Permanent, Determinants, permanents, traces, other special matrix functions, Jacobsthal Number, permanent, Combinatorial aspects of matrices (incidence, Hadamard, etc.)
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