Triangulated Manifolds with Few Vertices: Combinatorial Manifolds
Please always quote using this URN: urn:nbn:de:0297-zib-9028
- In this survey on combinatorial properties of triangulated manifolds we discuss various lower bounds on the number of vertices of simplicial and combinatorial manifolds. Moreover, we give a list of all known examples of vertex-minimal triangulations.
Author: | Frank H. Lutz |
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Document Type: | ZIB-Report |
Tag: | combinatorial properties; minimal triangulations; triangulated manifolds |
MSC-Classification: | 05-XX COMBINATORICS (For finite fields, see 11Txx) / 05Cxx Graph theory (For applications of graphs, see 68R10, 81Q30, 81T15, 82B20, 82C20, 90C35, 92E10, 94C15) / 05C30 Enumeration in graph theory |
52-XX CONVEX AND DISCRETE GEOMETRY / 52Bxx Polytopes and polyhedra / 52B05 Combinatorial properties (number of faces, shortest paths, etc.) [See also 05Cxx] | |
52-XX CONVEX AND DISCRETE GEOMETRY / 52Bxx Polytopes and polyhedra / 52B70 Polyhedral manifolds | |
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 (06-08) |
ZIB-Reportnumber: | 06-08 |