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Triangulated Manifolds with Few Vertices: Vertex-Transitive Triangulations I (2006)

Köhler, Ekkehard G. ; Lutz, Frank H.

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Publication Date: 2014-02-26

Description: 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.

Keywords: ddc:000

Language: English

Type: reportzib , doc-type:preprint

Format: application/pdf

Format: application/postscript

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