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arxiv: 1611.02901 · v2 · pith:DMLHDYGZnew · submitted 2016-11-09 · 🧮 math.CO

Bipartite graphs and their dessins d'enfants

classification 🧮 math.CO
keywords dessinsenfantsbipartitefinitegroupalgorithmautomorphimscell
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Each finite and connected bipartite graph induces a finite collection of non-isomorphic dessins d'enfants, that is, $2$-cell embeddings of it into some closed orientable surface. We describe an algorithm to compute all these dessins d'enfants, together their automorphims group, monodromy group and duality type.

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