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Eulerian and Bipartite Partial Duals of Hypermaps
We study hyperedge partial duals of finite hypermaps in a purely combinatorial framework, without assuming orientability. A hypermap is represented by three fixed-point-free involutions $(τ_0,τ_1,τ_2)$ on its flag set. We first give an explicit construction of the medial map from this model: $02$-or
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