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Triangulated Manifolds with Few Vertices: Vertex-Transitive Triangulations I | | Ekkehard G. Köhler
; Frank H. Lutz
; | | Date: |
25 Jun 2005 | | Subject: | Geometric Topology; Combinatorics MSC-class: 57Q15; 20B25 | math.GT math.CO | | Abstract: | 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 $nleq 13$ vertices. With the exception of actions of groups of small order, the enumeration is extended to 14 and 15 vertices. | | Source: | arXiv, math.GT/0506520 | | Services: | Forum | Review | PDF | Favorites | |
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