Matt Bowen

most citedMonochromatic products and sums in

2

-colorings of

N

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.CO2022★ 1 cited

Monochromatic products and sums in $2$ -colorings of $N$

Matt Bowen

We show that any $2$ -coloring of $N$ contains infinitely many monochromatic sets of the form ${x, y, x y, x + y},$ and more generally monochromatic sets of the form $\{x_i,\pr…

math.CO2018

Finding unavoidable colorful patterns in multicolored graphs

Matthew Bowen, Ander Lamaison, Alp Müyesser

We provide multicolored and infinite generalizations for a Ramsey-type problem raised by Bollobás, concerning colorings of $K_{n}$ where each color is well-represented. Let $χ$ be a…

math.CO2018

The Sprague-Grundy function for some selective compound games

Calvin Beideman, Matthew Bowen, Necati Alp Muyesser

We analyze the Sprague-Grundy functions for a class of almost disjoint selective compound games played on Nim heaps. Surprisingly, we find that these functions behave chaotically f…

Monochromatic products and sums in 2-colorings of N

Finding unavoidable colorful patterns in multicolored graphs

The Sprague-Grundy function for some selective compound games

Monochromatic products and sums in $2$ -colorings of $N$