1 citations · 2 across the 4 of their papers we have counts for
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One-ended spanning trees and definable combinatorics
Matthew Bowen, Antoine Poulin, Jenna Zomback
Let be a Polish space with Borel probability measure and a locally finite one-ended Borel graph on We show that admits a Borel one-ended spanning tree gen…
Monochromatic products and sums in -colorings of
Matt Bowen
We show that any -coloring of contains infinitely many monochromatic sets of the form and more generally monochromatic sets of the form $\{x_i,\pr…
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 where each color is well-represented. Let be a…
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…