3 papers
math.AC2021
Toric Ideals of Weighted Oriented Graphs
Jennifer Biermann, Selvi Kara, Kuei-Nuan Lin +1
Given a vertex-weighted oriented graph, we can associate to it a set of monomials. We consider the toric ideal whose defining map is given by these monomials. We find a generating…
math.AC2020
Betti numbers of weighted oriented graphs
Beata Casiday, Selvi Kara
Let be a weighted oriented graph and be its edge ideal. In this paper, we investigate the Betti numbers of via upper-Koszul simplici…
math.AC2020
On algebraic and combinatorial properties of weighted simplicial complexes
Selvi Kara
Weighted simplicial complexes (WSCs) are powerful tools for describing weighted cloud data or networks with weighted nodes. In this paper, we propose a novel approach to study WSCs…