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math.CO2024
Self-Reachable Configuration Polytopes for Trees
Benjamin Lyons, McCabe Olsen
We study lattice polytopes which arise as the convex hull of chip vectors for \textit{self-reachable} chip configurations on a tree . We show that these polytopes always have th…
math.CO2024
Self-Reachable Chip Configurations on Trees
Benjamin Lyons, McCabe Olsen
In this paper, we explore the notion of a \emph{self-reachable} chip configuration on a simple graph, that is a chip configuration which can be re-obtained from itself after a (non…