74 citations · 190 across the 12 of their papers we have counts for
10 papers · 1 filter
Irreducible triangulations of the once-punctured torus
S. Lawrencenko, T. Sulanke, M. T. Villar +3
A triangulation of a surface with fixed topological type is called irreducible if no edge can be contracted to a vertex while remaining in the category of simplicial complexes and…
Generating maps on surfaces
Thom Sulanke
We describe procedures for generating all 2-cell embedded simple graphs with up to a fixed number of vertices on a given surface. We also modify these procedures to generate closed…
Another Diminimal Map on the Torus
Thom Sulanke
This note adds one diminimal map on the torus to the published set of 55. It also raises to 15 the number of vertices for which all diminimal maps on the torus are known.
Equivelar and d-Covered Triangulations of Surfaces. II. Cyclic Triangulations and Tessellations
Frank H. Lutz
With the -family of cyclic triangulations we introduce a rich class of vertex-transitive triangulations of surfaces. In particular, there are infinite series of cyclic …
Equivelar and d-Covered Triangulations of Surfaces. I
Frank H. Lutz, Thom Sulanke, Anand K. Tiwari +1
We survey basic properties and bounds for -equivelar and -covered triangulations of closed surfaces. Included in the survey is a list of the known sources for -equivelar a…
f-Vectors of 3-Manifolds
Frank H. Lutz, Thom Sulanke, Ed Swartz
In 1970, Walkup completely described the set of -vectors for the four 3-manifolds , , , and . We improve one of Walkup's main restricti…