Debbie Wooton

collaborators

3 papers

math.AC2025

Scarf complexes of connected and path ideals

Trung Chau, Richie Sheng, Tim Tribone +1

The $t$ -connected ideal of a graph $G$ is generated by all connected induced subgraphs of $G$ with $t$ vertices. When $t = 2$ , this coincides with the usual edge ideal of the graph…

math.AC2025

Homological invariants of edge ideals of weighted oriented graphs

Trung Chau, Richie Sheng, Deborah Wooton

We determine all possible triples of depth, dimension, and regularity of edge ideals of weighted oriented graphs with a fixed number of vertices. Also, we compute all the possible…

math.NT2024

Popular differences in primes along fractional powers

Bora ÃalÄ±m, Ioannis Iakovakis, Sophie Long +2

We prove that $E_{m \leq M} E_{n \leq N} I^ (n) I^ (n + ⌊ m^{c} ⌋) = 1 + O (lo g^{2 - Bc} N)$ , where $c > 2$ is a non-inte…