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Cluster Variables and Perfect Matchings of Subgraphs of the $dP_3$ Lattice

We give a combinatorial intepretation of cluster variables of a specific cluster algebra under a mutation sequence of period 6, in terms of perfect matchings of subgraphs of the brane tiling dual to the quiver associated with the cluster algebra.

preprint2015arXivOpen access
Sicong Zhang
math.CO
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Sicong Zhang

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