Michael Zheng

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20242026

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3 papers · 1 filter

math.CO2024

Codegree conditions for (fractional) Steiner triple systems

Michael Zheng

We establish an upper bound on the minimum codegree necessary for the existence of spanning, fractional Steiner triple systems in $3$ -uniform hypergraphs. This improves upon a resu…

math.CO2024

Rainbow Combinatorial Lines in Hypercubes

Michael Zheng

This paper is about the rainbow dual of the Hales Jewett number, providing general bounds an anti-Hales Jewett Number for hypercubes of length k and dimension n denoted $ah (k, n) .$ …

math.CO2024

Subgraphs of random graphs in hereditary families

Alexander Clifton, Hong Liu, Letícia Mattos +1

For a graph $G$ and a hereditary property $P$ , let $ex (G, P)$ denote the maximum number of edges of a subgraph of $G$ that belongs to $P$ . We pr…