61 citations · 110 across the 13 of their papers we have counts for
16 papers
Rectilinear approximation and volume estimates for hereditary bodies via [0,1]-decorated containers
Victor Falgas-Ravry, Robert Hancock, Johanna Strömberg +1
We use the hypergraph container theory of Balogh--Morris--Samotij and Saxton--Thomason to obtain general rectilinear approximations and volume estimates for sequences of bodies clo…
Stability and Erdős--Stone type results for -free graphs with a fixed number of edges
Jamie Radcliffe, Andrew Uzzell
A fundamental problem of extremal graph theory is to ask, 'What is the maximum number of edges in an -free graph on vertices?' Recently Alon and Shikhelman proposed a more g…
On difference graphs and the local dimension of posets
Jinha Kim, Ryan R. Martin, Tomáš Masařík +4
The dimension of a partially-ordered set (poset), introduced by Dushnik and Miller (1941), has been studied extensively in the literature. Recently, Ueckerdt (2016) proposed a vari…
Multicolour containers, extremal entropy and counting
Victor Falgas-Ravry, Kelly O'Connell, Andrew Uzzell
In breakthrough results, Saxton-Thomason and Balogh-Morris-Samotij developed powerful theories of hypergraph containers. In this paper, we explore some consequences of these theori…
A simple discharging method for forbidden subposet problems
Ryan R. Martin, Abhishek Methuku, Andrew Uzzell +1
The poset consists of distinct elements , , \dots, , ,, such that ,~. The poset $Y'_{k+1…
Ore and Chvátal-type Degree Conditions for Bootstrap Percolation from Small Sets
Michael Dairyko, Michael Ferrara, Bernard Lidický +3
Bootstrap percolation is a deterministic cellular automaton in which vertices of a graph~ begin in one of two states, "dormant" or "active". Given a fixed integer , a dormant…