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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.

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Metadaten
Author:Frank H. Lutz
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
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