17 citations · 53 across the 10 of their papers we have counts for
4 papers · 1 filter
Graph coloring manifolds
Peter Csorba, Frank H. Lutz
We introduce a new and rich class of graph coloring manifolds via the Hom complex construction of Lovasz. The class comprises examples of Stiefel manifolds, series of spheres and p…
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…
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…