Yi Zhang

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3 papers · 1 filter

math.CO2026

Shadows of Uniform Hypergraphs under a Minimum Degree Condition

Haorui Liu, Mei Lu, Yi Zhang

Given a set $X$ and an integer $t$ , let $F$ be a family of $k$ -subsets of $X$ . The Kruskal--Katona theorem implies that if $∣ F ∣ \geq (k t)$ , then $|\parti…

math.CO2026

A Quadratic Vertex Threshold for Isolated Cliques in the Minimum Degree Kruskal-Katona Problem for 3-Uniform Hypergraphs

Haorui Liu, Mei Lu, Yi Zhang

Given a set $X$ and an integer $t$ , let $F$ be a family of $k$ -subsets of $X$ . The Kruskal-Katona theorem states that if $∣ F ∣ \geq (k t)$ , then $|\partial…

math.CO2019

Vertex degree sums for matchings in 3-uniform hypergraphs

Yi Zhang, Yi Zhao, Mei Lu

Let $n, s$ be positive integers such that $n$ is sufficiently large and $s \leq n /3$ . Suppose $H$ is a 3-uniform hypergraph of order $n$ . If $H$ contains no isolated vertex and $deg(…