Powers of edge ideals of weighted oriented graphs with linear resolutions
A Banerjee, KK Das, S Selvaraja - Journal of Algebra and its …, 2023 - World Scientific
Let 𝒟=(V (𝒟), E (𝒟)) be a weighted oriented graph and I (𝒟) denote the corresponding edge
ideal. In this paper, we give a combinatorial characterization of I (𝒟) which has a linear …
ideal. In this paper, we give a combinatorial characterization of I (𝒟) which has a linear …
Regularity and projective dimension of powers of edge ideal of the disjoint union of some weighted oriented gap-free bipartite graphs
G Zhu, L Xu, H Wang, J Zhang - Journal of Algebra and Its …, 2020 - World Scientific
In this paper, we provide some precise formulas for regularity of powers of edge ideal of the
disjoint union of some weighted oriented gap-free bipartite graphs. For the projective …
disjoint union of some weighted oriented gap-free bipartite graphs. For the projective …
Integral Closure of Powers of Generalized Edge Ideals
S Haque - Studia Scientiarum Mathematicarum Hungarica, 2023 - akjournals.com
This article studies a new class of monomial ideals associated with a simple graph 𝐺, called
generalized edge ideal, denoted by 𝐼 𝑔 (𝐺). Assuming that all the vertices 𝑥 have an …
generalized edge ideal, denoted by 𝐼 𝑔 (𝐺). Assuming that all the vertices 𝑥 have an …