13 citations · 19 across the 15 of their papers we have counts for
4 papers · 1 filter
Chasing the Threshold Bias of the 3-AP Game
Albert Cao, Felix Christian Clemen, Sean English +4
In a Maker-Breaker game there are two players, Maker and Breaker, where Maker wins if they create a specified structure while Breaker wins if they prevent Maker from winning indefi…
Linear Bounds for Cycle-free Saturation Games
Sean English, Tomáš Masařík, Grace McCourt +3
Given a family of graphs , we define the -saturation game as follows. Two players alternate adding edges to an initially empty graph on vertices, with…
Low Diameter Monochromatic Covers of Complete Multipartite Graphs
Sean English, Connor Mattes, Grace McCourt +1
Let the diameter cover number, , denote the least integer such that under any -coloring of the edges of the graph , there exists a collection of monochromat…
Lower bounds on the Erdős-Gyárfás problem via color energy graphs
József Balogh, Sean English, Emily Heath +1
Given positive integers and , a -coloring of the complete graph is an edge-coloring in which every -clique receives at least colors. Erdős and Shelah pos…