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7 votes
0 answers
239 views

Chip firing on hypergraphs

A (finite) hypergraph is a pair $(V, \mathcal{E})$ where $V$ is a finite set of vertices and $\mathcal{E}\subseteq\mathcal{P}(V)$ with each $E\in\mathcal{E}$ having at least two elements; a ...
Noah Schweber's user avatar
5 votes
1 answer
204 views

A set-family game

Two players, Green and Red, play a zero-sum game. It is parametrized by two integers $n\geq 0, k\geq 0$, and a finite family $F$ of sets of size $n$ (each set may appear multiple times in $F$). Each ...
Erel Segal-Halevi's user avatar