Kellen Myers

activity

20062026

collaborators

4 papers

q-bio.OT2026

When is Enough Enough? A Proposed Termination Point for the Number of Replicates in Computational Simulations

Eric T. Lofgren, Kellen Myers, Nina H. Fefferman

Computational simulation provides a powerful toolkit for in silico experimentation. However, while the field has developed best practices for the design and implementation of such…

math.CO2015

A Note on a Question of Erdős & Graham

Kellen Myers

Erdős & Graham ask whether the equation $x^{2} + y^{2} = z^{2}$ is partition regular, i.e. whether it has a finite Rado number. This note provides a lower bound and also states results in th…

math.CO2007

Some Two Color, Four Variable Rado Numbers

Aaron Robertson, Kellen Myers

There exists a minimum integer $N$ such that any 2-coloring of ${1, 2, ..., N}$ admits a monochromatic solution to $x + y + k z = ℓ w$ for $k, ℓ \in Z^{+}$ , where $N$ depends…

math.CO2006

Two Color Off-diagonal Rado-type Numbers

Kellen Myers, Aaron Robertson

We show that for any two linear homogenous equations $E_{0}, E_{1}$ , each with at least three variables and coefficients not all the same sign, any 2-coloring of $\m…