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arXiv 2005-06-24 0 views

Triangulated Manifolds with Few Vertices: Vertex-Transitive Triangulations I

Köhler, Ekkehard G. · Lutz, Frank H.

Original · EN

We describe an algorithm for the enumeration of (candidates of) vertex-transitive combinatorial d-manifolds. With an implementation of our algorithm, we determine, up to combinatorial equivalence, all combinatorial manifolds with a vertex-transitive automorphism group on n≤ 13 vertices. With the exception of actions of groups of small order, the enumeration is extended to 14 and 15 vertices.

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