6 citations · 13 across the 13 of their papers we have counts for
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Bounds For The Distance Estrada Index Of Graphs
Ş. Burcu Bozkurt, Durmuş Bozkurt
The D-eigenvalues μ_1,μ_2,...,μ_{n} of a connected graph G are the eigenvalues of its distance matrix. The distance Estrada index of G is defined in [15] as DEE=DEE(G)=Σ_{i=1}^n e^…
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 a General Number Sequence
Durmuş Bozkurt
The generalized sequence of numbers is defined by W_{n}=pW_{n-1}+qW_{n-2} with initial conditions W_{0}=a and W_{1}=b for a,b,p,q\inZ and n\geq2, respectively. Let W_{n}=circ(W_{1}…
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…
Determinants and Inverses of Circulant Matrices with Jacobsthal and Jacobsthal-Lucas Numbers
Durmuş Bozkurt, Tin-Yau Tam
Let n\geq3 and J_{n}:=circ(J_{1},J_{2},...,J_{n}) and j_{n}:=\circ(j_{0},j_{1},...,j_{n-1}) be the n\timesn circulant matrices, associated with the nth Jacobsthal number J_{n} and…