Yi Zhao

activity

20162022

most citedVertex degree sums for perfect matchings in 3-uniform hypergraphs

2 citations · 2 across the 5 of their papers we have counts for

collaborators

Showing 2016 · math.COShow all

5 papers · 2 filters

math.CO2016

Codegree conditions for tiling complete $k$ -partite $k$ -graphs and loose cycles

Wei Gao, Jie Han, Yi Zhao

Given two $k$ -graphs ( $k$ -uniform hypergraphs) $F$ and $H$ , a perfect $F$ -tiling (or an $F$ -factor) in $H$ is a set of vertex disjoint copies of $F$ that together cover the vertex…

math.CO2016

Matchings in $k$ -partite $k$ -uniform Hypergraphs

Jie Han, Chuanyun Zang, Yi Zhao

For $k \geq 3$ and $ε > 0$ , let $H$ be a $k$ -partite $k$ -graph with parts $V_{1}, \dots, V_{k}$ each of size $n$ , where $n$ is sufficiently large. Assume that for each $i \in [k]$ , every $(k…

math.CO2016

New Upper Bound for Sums of Dilates

Albert Bush, Yi Zhao

For $λ \in Z$ , let $λ \cdot A = {λa : a \in A}$ . Suppose $r, h \in Z$ are sufficiently large and comparable to each other. We prove that if $∣ A + A ∣ \leq K ∣ A ∣$ and…

math.CO2016

Degree versions of the Erdos-Ko-Rado Theorem and Erdos hypergraph matching conjecture

Hao Huang, Yi Zhao

We use an algebraic method to prove a degree version of the celebrated Erd\H os-Ko-Rado theorem: given $n > 2 k$ , every intersecting $k$ -uniform hypergraph $H$ on $n$ vertices contain…

math.CO2016

Asymptotics of Ramsey numbers of double stars

Sergey Norin, Yue Ru Sun, Yi Zhao

A double star $S (n, m)$ is the graph obtained by joining the center of a star with $n$ leaves to a center of a star with $m$ leaves by an edge. Let $r (S (n, m))$ denote the Ramsey num…

Codegree conditions for tiling complete k-partite k-graphs and loose cycles

Matchings in k-partite k-uniform Hypergraphs

New Upper Bound for Sums of Dilates

Degree versions of the Erdos-Ko-Rado Theorem and Erdos hypergraph matching conjecture

Asymptotics of Ramsey numbers of double stars

Codegree conditions for tiling complete $k$ -partite $k$ -graphs and loose cycles

Matchings in $k$ -partite $k$ -uniform Hypergraphs