Triangulated Manifolds with Few Vertices: Vertex-Transitive Triangulations I
Please always quote using this URN: urn:nbn:de:0297-zib-9031
- 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.
Download full text files
Additional Services
| Author: | Ekkehard G. Köhler, Frank H. Lutz |
|---|---|
| Document Type: | ZIB-Report |
| Tag: | triangulated manifolds; vertex-transitive triangulations |
| MSC-Classification: | 20-XX GROUP THEORY AND GENERALIZATIONS / 20Bxx Permutation groups / 20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures [See also 05Bxx, 12F10, 20G40, 20H30, 51-XX] |
| 57-XX MANIFOLDS AND CELL COMPLEXES (For complex manifolds, see 32Qxx) / 57Qxx PL-topology / 57Q15 Triangulating manifolds | |
| Date of first Publication: | 2006/03/01 |
| Series (Serial Number): | ZIB-Report (06-09) |
| ZIB-Reportnumber: | 06-09 |
