59 citations · 106 across the 7 of their papers we have counts for
7 papers
Polyhedra of genus 2 with 10 vertices and minimal coordinates
Stefan Hougardy, Frank H. Lutz, Mariano Zelke
We give coordinate-minimal geometric realizations in general position of all 865 vertex-minimal triangulations of the orientable surface of genus 2 in the 4x4x4-cube.
Triangulated Manifolds with Few Vertices: Vertex-Transitive Triangulations I
Ekkehard G. Köhler, Frank H. Lutz
We describe an algorithm for the enumeration of (candidates of) vertex-transitive combinatorial -manifolds. With an implementation of our algorithm, we determine, up to combinat…
Triangulated Manifolds with Few Vertices: Combinatorial Manifolds
Frank H. Lutz
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,…
Enumeration and random realization of triangulated surfaces
Frank H. Lutz
We discuss different approaches for the enumeration of triangulated surfaces. In particular, we enumerate all triangulated surfaces with 9 and 10 vertices. We also show how geometr…
Triangulated Manifolds with Few Vertices: Centrally Symmetric Spheres and Products of Spheres
Frank H. Lutz
The aim of this paper is to give a survey of the known results concerning centrally symmetric polytopes, spheres, and manifolds. We further enumerate nearly neighborly centrally sy…
One-Point Suspensions and Wreath Products of Polytopes and Spheres
Michael Joswig, Frank H. Lutz
It is known that the suspension of a simplicial complex can be realized with only one additional point. Suitable iterations of this construction generate highly symmetric simplicia…