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Öğe Jacobsthal Numbers and Associated Hessenberg Matrices(Univ Waterloo, 2018) Oteles, Ahmet; Karatas, Zekeriya Y.; Zangana, Diyar O. MustafaIn this paper, we define two n x 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.Öğe Permanental representation of perfect matchings in bipartite graphs associated with Padovan numbers(Academic Publications Ltd., 2017) Öteleş, Ahmet; Zangana, Diyar O. MustafaIn this paper, we consider the relationship between Padovan numbers and perfect matchings of a certain type of bipartite graphs. Then we give a Maple procedure in order to calculate the number of perfect matchings of this family. © 2017 Academic Publications.