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Autor:
Terry, C.
This is the fourth in a series of papers on the growth of regular partitions in $3$-uniform hypergraphs. In this paper, we consider a form of regularity for $3$-uniform hypergraphs which was developed by Frankl, Gowers, Kohayakawa, Nagle, R\"{o}dl, S
Externí odkaz:
http://arxiv.org/abs/2404.02030
Autor:
Terry, C.
This is Part 3 in a series of papers about the growth of regular partitions in $3$-uniform hypergraphs. We consider here the strong regularity for $3$-uniform hypergraphs developed by Frankl, Gowers, Kohayakawa, Nagle, R\"{o}dl, Skokan, and Schacht.
Externí odkaz:
http://arxiv.org/abs/2404.02024
Autor:
Terry, C.
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 hypergraph regularity, first developed by Chung, Chung-Graham, and Haviland-Th
Externí odkaz:
http://arxiv.org/abs/2404.01293
Autor:
Terry, C.
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, showed that $3$-uniform hypergraphs of small slicewise VC-dimension admi
Externí odkaz:
http://arxiv.org/abs/2404.01274
Autor:
Conant, G., Terry, C.
This expository article is based on two lectures given by the first author at the Fields Institute in the Fall 2021 Thematic Program on Trends in Pure and Applied Model Theory. We give a detailed proof of a qualitative version of the Mallaris-Shelah
Externí odkaz:
http://arxiv.org/abs/2308.16809