6 citations · 6 across the 6 of their papers we have counts for
6 papers
A general formula for determinants and inverses of r-circulant matrices with third order recurrences
Emrullah Kirklar, Fatih Yilmaz
This note provides formula for determinant and inverse of r-circulant matrices with general sequences of third order. In other words, the study combines many papers in the literatu…
On Pfaffian and determinant of one type of skew centrosymmetric matrices
Fatih Yilmaz, Tomohiro Sogabe, Emrullah Kirklar
This paper is dedicated to compute Pfaffian and determinant of one type of skew centrosymmetric matrices in terms of general number sequence of second order.
On the Fibonacci and Lucas numbers, their sums and permanents of one type of Hessenberg matrices
Fatih Yilmaz, Durmus Bozkurt
At this paper, we derive some relationships between permanents of one type of lower-Hessenberg matrix and the Fibonacci and Lucas numbers and their sums.
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…
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…
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…