1 citations · 1 across the 3 of their papers we have counts for
5 papers
Non-divisibility of LCM Matrices by GCD Matrices on GCD-closed Sets
Ercan Altınışık, Mehmet Yıldız, Ali Keskin
In this paper, we consider the divisibility problem of LCM matrices by GCD matrices in the ring proposed by Hong in 2002 and in particular a conjecture concerning…
On the Ilmonen-Haukkanen-Merikoski Conjecture
Ercan Altınışık, Ali Keskin, Mehmet Yıldız +1
Let be the set of all lower triangular (0,1)-matrices with each diagonal element equal to , and let \begin{equation*} c_n = \min_{Z…
Determinants of Circulant Matrices with Some Certain Sequences
Ercan Altınışık
Let be a sequence of real numbers defined by an th order linear homogenous recurrence relation. In this paper we obtain a determinant formula for the circulant matrix…
On Bounds for the Smallest and the Largest Eigenvalues of GCD and LCM Matrices
Ercan Altınışık, Şerife Büyükköse
In this paper, we study the eigenvalues of the GCD matrix and the LCM matrix defined on . We present upper and lower bounds for the smallest a…
GCD matrices, posets, and nonintersecting paths
Ercan Altinisik, Bruce E. Sagan, Naim Tuglu
We show that with any finite partially ordered set one can associate a matrix whose determinant factors nicely. As corollaries, we obtain a number of results in the literature abou…