Louis DeBiasio

activity

20112026

most citedUpper density of monochromatic infinite paths

4 citations · 15 across the 25 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math.CO2016

Density of monochromatic infinite subgraphs

Louis DeBiasio, Paul McKenney

For any countably infinite graph $G$ , Ramsey's theorem guarantees an infinite monochromatic copy of $G$ in any $r$ -coloring of the edges of the countably infinite complete graph $K…

math.CO2016

Tiling directed graphs with tournaments

Andrzej Czygrinow, Louis DeBiasio, Theodore Molla +1

The Hajnal--Szemerédi theorem states that for any integer $r \geq 1$ and any multiple $n$ of $r$ , if $G$ is a graph on $n$ vertices and $δ (G) \geq (1 - 1/ r) n$ , then $G$ can be partit…