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arxiv: 1511.06055 · v1 · pith:H7UX4EEEnew · submitted 2015-11-19 · 🧮 math.CO

Cluster Variables and Perfect Matchings of Subgraphs of the dP₃ Lattice

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keywords clusteralgebramatchingsperfectsubgraphsvariablesassociatedbrane
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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.

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