C. Terry

collaborators

6 papers

math.CO2026

Growth of regular partitions 2: Weak regularity

C. Terry

This is Part 2 in a series of papers about the growth of regular partitions in hereditary properties $3$ -uniform hypergraphs. The focus of this paper is the notion of weak hypergra…

math.CO2025

On the linear complexity of subsets of $F_{p}^{n}$ bounded $VC_{2}$ -dimension

Hannah Sheats, Caroline Terry

Previous work of the second author and Wolf showed that given a set $A \subseteq F_{p}^{n}$ of bounded $VC_{2}$ -dimension, there is a high rank quadratic factor $\mathca…

math.CO2025

The structure of subsets of $F_{p}^{n}$ of bounded $VC_{2}$ -dimension

C. Terry, J. Wolf

We show that a subset of $F_{p}^{n}$ of $V C_{2}$ -dimension at most $k$ is well approximated by a union of atoms of a quadratic factor of complexity $(ℓ, q)$ (de…

math.CO2025

On the quadratic complexity of subsets of $F_{p}^{n}$ of bounded $V C_{2}$ -dimension

C. Terry, J. Wolf

In prior work, we showed that subsets of $F_{p}^{n}$ of $V C_{2}$ -dimension at most $k$ are well approximated by a union of atoms of a quadratic factor of complexi…

math.CO2025

Growth of regular partitions 3: strong regularity and the vertex partition

C. Terry

We consider here the strong regularity for $3$ -uniform hypergraphs developed by Frankl, Gowers, Kohayakawa, Nagle, RÃ¶dl, Skokan, and Schacht. This type of regular decomposition co…

math.CO2025

Growth of regular partitions 4: strong regularity and the pairs partition

C. Terry

This paper studies bounds in a strong form of regularity for $3$ -uniform hypergraphs which was developed by Frankl, Gowers, Kohayakawa, Nagle, RÃ¶dl, Skokan, and Schacht. Regular d…

Growth of regular partitions 2: Weak regularity

On the linear complexity of subsets of Fpn​ bounded VC2​-dimension

The structure of subsets of Fpn​ of bounded VC2​-dimension

On the quadratic complexity of subsets of Fpn​ of bounded VC2​-dimension

Growth of regular partitions 3: strong regularity and the vertex partition

Growth of regular partitions 4: strong regularity and the pairs partition

On the linear complexity of subsets of $F_{p}^{n}$ bounded $VC_{2}$ -dimension

The structure of subsets of $F_{p}^{n}$ of bounded $VC_{2}$ -dimension

On the quadratic complexity of subsets of $F_{p}^{n}$ of bounded $V C_{2}$ -dimension