8 citations · 17 across the 4 of their papers we have counts for
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math.CO2016
Properties of minimal mutation-infinite quivers
John W. Lawson, Matthew R. Mills
We study properties of minimal mutation-infinite quivers. In particular we show that every minimal-mutation infinite quiver of at least rank 4 is Louise and has a maximal green seq…
math.CO2016
Maximal green sequences for quivers of finite mutation type
Matthew R. Mills
In general, the existence of a maximal green sequence is not mutation invariant. In this paper we show that it is in fact mutation invariant for cluster quivers of finite mutation…
math.CO2015★ 8 cited
Maximal Green Sequences for Cluster Algebras Associated to the Orientable Surfaces of Genus n with Arbitrary Punctures
Eric Bucher, Matthew R. Mills
It is well known that any triangulation of a marked surface produces a quiver. In this paper we will provide a triangulation for orientable surfaces of genus with an arbitrary…