1 citations · 1 across the 2 of their papers we have counts for
4 papers
Spectrum of the Unit-Graph on
Yeşim Demiroğlu Karabulut, Heriberto Espinosa
In this paper, we investigate the spectrum of the unit-graph of the ring of matrices over a finite field , which is equivalently the Cayley digraph $ \ma…
Expanding phenomena over matrix rings
Yeşim Demiroğlu Karabulut, Doowon Koh, Thang Pham +2
In this paper, we study expanding phenomena in the setting of matrix rings. More precisely, we will prove that If is a set of and , then we…
Cayley Digraphs of Matrix Rings over Finite Fields
Yeşim Demiroğlu Karabulut
We use the \emph{unit-graphs} and the \emph{special unit-digraphs} on matrix rings to show that every nonzero matrix over can be written as a sum of two $\o…
Waring's Problem in Finite Rings
Yeşim Demiroğlu Karabulut
In this paper we obtain sharp results for Waring's problem over general finite rings, by using a combination of Artin-Wedderburn theory and Hensel's lemma and building on new proof…