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math.NT2012
The Jacobsthal and Jacobsthal-Lucas sequences associated with pseudo graphs
Fatih Yılmaz, Durmuş Bozkurt
In the present paper, we define two directed pseudo graphs. Then, we investigate the adjacency matrices of the defined graphs and show that the permanents of the adjacency matrices…
math.NT2012
The adjacency matrix of one type of graph and the Fibonacci numbers
Fatih Yılmaz, Şerife Burcu Bozkurt, Durmuş Bozkurt
Recently there is huge interest in graph theory and intensive study on computing integer powers of matrices. In this paper, we investigate relationships between one type of graph a…
math.NA2012★ 6 cited
On the Determinants and Inverses of Circulant Matrices with Pell and Pell-Lucas Numbers
Durmuş Bozkurt, Fatih Yılmaz
Let P=\circ(P_{1},P_{2},...,P_{n}) and Q=\circ(Q_{1},Q_{2},...,Q_{n}) be n\timesn circulant matrices where P_{n} and Q_{n} are nth Pell and Pell-Lucas numbers, respectively. The de…