C. Terry

activity

20222025

most citedAn improved bound for regular decompositions of

3

-uniform hypergraphs of bounded

V C_{2}

-dimension

1 citations · 1 across the 8 of their papers we have counts for

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8 papers · 1 filter

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.CO2024

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, Rödl, Skokan, and Schacht. Regular de…

math.CO2024

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, Rödl, Skokan, and Schacht. This type of regular decomposition com…

math.CO2024

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.CO2024

Growth of regular partitions 1: Improved bounds for small slicewise VC-dimension

C. Terry

This is Part 1 in a series of papers about sizes of regular partitions of $3$ -uniform hypergraphs. Previous work of the author and Wolf, and independently Chernikov and Towsner, sh…

math.CO2022★ 1 cited

An improved bound for regular decompositions of $3$ -uniform hypergraphs of bounded $V C_{2}$ -dimension

C. Terry

A regular partition $P$ for a $3$ -uniform hypergraph $H = (V, E)$ consists of a partition $V = V_{1} \cup \dots \cup V_{t}$ and for each $ij \in (2 [ t ])$ , a partition $K_2[V…

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 4: strong regularity and the pairs partition

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

Growth of regular partitions 2: Weak regularity

Growth of regular partitions 1: Improved bounds for small slicewise VC-dimension

An improved bound for regular decompositions of 3-uniform hypergraphs of bounded VC2​-dimension

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

An improved bound for regular decompositions of $3$ -uniform hypergraphs of bounded $V C_{2}$ -dimension