Augustine O'Keefe

activity

20102026

most citedPath ideals of rooted trees and their graded Betti numbers

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.AC2026

Realizable (reg, deg h)-Pairs for Cover Ideals via Independence Polynomials

Jennifer Biermann, Trung Chau, Selvi Kara +4

Let $G$ be a finite simple graph on $n$ vertices and set $R = k [x_{1}, \dots, x_{n}]$ , with edge ideal $I (G)$ and cover ideal $J (G)$ . We give an explicit description of the $h$ -polynom…

math.AC2025

Computation of dominant ideals

Anna Maria Bigatti, Nursel Erey, Selvi Kara +4

We consider the problem of determining whether a monomial ideal is dominant. This property is critical for determining for which monomial ideals the Taylor resolution is minimal. W…

math.AC2024

Degree of $h$ -polynomials of edge ideals

Jennifer Biermann, Selvi Kara, Augustine O'Keefe +2

In this paper, we investigate the degree of $h$ -polynomials of edge ideals of finite simple graphs. In particular, we provide combinatorial formulas for the degree of the $h$ -polyn…

math.AC2010★ 1 cited

Path ideals of rooted trees and their graded Betti numbers

Rachelle R. Bouchat, Huy Tai Ha, Augustine O'Keefe

Let $Γ$ be a rooted tree and let $t$ be a positive integer. We study algebraic invariants and properties of the path ideal generated by monomial corresponding to paths of length $(…

Realizable (reg, deg h)-Pairs for Cover Ideals via Independence Polynomials

Computation of dominant ideals

Degree of h-polynomials of edge ideals

Path ideals of rooted trees and their graded Betti numbers

Degree of $h$ -polynomials of edge ideals