A. Bush

activity

20132016

most citedMinimum degree thresholds for bipartite graph tiling

5 citations · 8 across the 4 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.CO2014

Few products, many h-fold sums

Albert Bush, Ernie Croot

Improving upon a technique of Croot and Hart, we show that for every $h$ , there exists an $ε > 0$ such that if $A \subseteq R$ is sufficiently large and $|A.A| \le |A|^{1+ε…

math.CO2014★ 5 cited

Minimum degree thresholds for bipartite graph tiling

Albert Bush, Yi Zhao

For any bipartite graph $H$ , we determine a minimum degree threshold for a balanced bipartite graph $G$ to contain a perfect $H$ -tiling. We show that this threshold is best possibl…

math.CO2014★ 1 cited

Order-preserving Freiman isomorphisms

Gagik Amirkhanyan, Albert Bush, Ernie Croot

An order-preserving Freiman 2-isomorphism is a map $ϕ : X \to R$ such that $ϕ (a) < ϕ (b)$ if and only if $a < b$ and $ϕ (a) + ϕ (b) = ϕ (c) + ϕ (d)$ if and only if $a + b = c + d$ …