3 papers
math.CO2026
3-Neighbor bootstrap percolation on two-dimensional grids
Neal Bushaw, Alexander Clifton
In the -neighbor bootstrap percolation process, a vertex becomes (and remains) infected if at least three of its neighbors are infected. We say that an initial configuration of…
math.CO2026
Rainbow Separating Path Systems
Alexander Clifton, George Kontogeorgiou, S Taruni +1
We introduce a colorful version of separating path systems, in which two edges can only be separated from each other by two paths of distinct colors. We calculate the minimum sizes…
math.CO2025
Trail Trap: a variant of Partizan Edge Geography
Calum Buchanan, MacKenzie Carr, Alexander Clifton +4
We study a two-player game played on undirected graphs called {\sc Trail Trap}, which is a variant of a game known as {\sc Partizan Edge Geography}. One player starts by choosing a…