Robert A. Krueger

activity

20172023

most citedLower bounds on the Erdős-Gyárfás problem via color energy graphs

2 citations · 3 across the 8 of their papers we have counts for

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Showing 2020Show all

2 papers · 1 filter

math.CO2020

Firefighting on the Hexagonal Grid and on Infinite Trees

Alexander Dean, Sean English, Tongyun Huang +4

The firefighter problem with $k$ firefighters on an infinite graph $G$ is an iterative graph process, defined as follows: Suppose a fire breaks out at a given vertex $v \in V (G)$ on…

math.CO2020

A note about monochromatic components in graphs of large minimum degree

Louis DeBiasio, Robert A. Krueger

For all positive integers $r \geq 3$ and $n$ such that $r^{2} - r$ divides $n$ and an affine plane of order $r$ exists, we construct an $r$ -edge colored graph with minimum degree $(1-\f…