We study properties of minimal mutation-infinite quivers. In particular weshow that every minimal-mutation infinite quiver of at least rank 4 is Louiseand has a maximal green sequence. It then follows that the cluster algebrasgenerated by these quivers are locally acyclic and hence equal to their uppercluster algebra. We also study which quivers in a mutation-class have a maximalgreen sequence. For any rank 3 quiver there are at most 6 quivers in itsmutation class that admit a maximal green sequence. We also show that for everyrank 4 minimal mutation-infinite quiver there is a finite connected subgraph ofthe unlabelled exchange graph consisting of quivers that admit a maximal greensequence.
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