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math.CO2016★ 3 cited
A cancellation-free antipode formula (for uniform matroids) for the restriction-contraction matroid Hopf algebra
Eric Bucher, Jacob P. Matherne
In this paper, we give a cancellation-free antipode formula (for uniform matroids) for the restriction-contraction matroid Hopf algebra, using the technique of splitting and mergin…
math.CO2016
Recovering the topology of surfaces from cluster algebras
Eric Bucher, Milen Yakimov
We present an effective method for recovering the topology of a bordered oriented surface with marked points from its cluster algebra. The information is extracted from the maximal…