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Surface cluster algebra expansion formulae via loop graphs

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Cluster Expansions from Punctured Orbifolds

math.CO · 2026-05-06 · unverdicted · novelty 7.0

Equivalent combinatorial expansion formulas for generalized cluster algebras on punctured orbifolds are derived using snake graphs, labelled posets, matrices, and T-walks, generalizing prior results for surfaces and unpunctured orbifolds.

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  • Cluster Expansions from Punctured Orbifolds math.CO · 2026-05-06 · unverdicted · none · ref 73

    Equivalent combinatorial expansion formulas for generalized cluster algebras on punctured orbifolds are derived using snake graphs, labelled posets, matrices, and T-walks, generalizing prior results for surfaces and unpunctured orbifolds.