On the vertex-to-edge duality between the Cayley graph and the coset geometry of von Dyck groups

arxiv: 1303.0962 · v3 · pith:5X2KRJJFnew · submitted 2013-03-05 · 🧮 math.CO · math.DG· math.GR

Giovanni Moreno , Monika Ewa Stypa This is my paper

classification 🧮 math.CO math.DGmath.GR

keywords cayleycosetdualitydyckgeometrygraphvertex-to-edgegroup

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We prove that the Cayley graph and the coset geometry of the von Dyck group $D(a,b,c)$ are linked by a vertex-to-edge duality.

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