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Öğe Lucas Sayılarıyla İlişkili İki Parçalı Graflar(2020) Öteleş, Ahmet; Zangana, Diyar Omar MustafaBu çalışmada iki parçalı komşuluk matrisi mertebeli ( )-circulant matrisi olan iki parçalı bir graf ele aldık. Daha sonra bu grafın mükemmel eşlemelerinin ( -factor) sayılarının Lucas sayıları ile arasındaki ilişkiyi verdik. Son olarak da bu mükemmel eşlemelerin sayısını hesaplamak için bazı maple prosedürleri verdik.Öğe On the sum of pell and jacobsthal numbers by matrix method(Iranian Mathematical Society, 2014) Akbulak, Mehmet; Öteleş, AhmetIn this paper, we define two n-square upper Hessenberg matrices one of which corresponds to the adjacency matrix of a directed pseudo graph. We investigate relations between permanents and determinants of these upper Hessenberg matrices, and sum formulas of the well-known Pell and Jacobsthal sequences. Finally, we present two Maple 13 procedures in order to calculate permanents of these upper Hessenberg matrices. © 2014 Iranian Mathematical Society.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.Öğe Positive integer powers of one type of complex tridiagonal matrix(School of Mathematical Sciences, 2014) Öteleş, Ahmet; Akbulak, MehmetIn this paper, we firstly present a general expression for the entries of the rth (r ? ?) power of a certain n-square complex tridiagonal matrix, in terms of the Chebyshev polynomials of the first kind. Secondly, we obtain two complex factorizations for Fibonacci and Pell numbers. We also give some Maple 13 procedures in order to verify our calculations. © 2014, School of Mathematical Sciences. All rights reserved.