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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