Triangulated Manifolds with Few Vertices: Vertex-Transitive Triangulations I

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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 $n\leq 13$ vertices. With the exception of actions of groups of small order, the enumeration is extended to 14 and 15 vertices.
74 pages, 1 figure

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Geometric Topology, Combinatorics, 57Q15; 20B25

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http://salesiana.dossiersoluciones.com/handle/123456789/75588

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506520
 http://arxiv.org/abs/math/0506520

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arXiv