6 citations · 10 across the 4 of their papers we have counts for
4 papers
Symmetric Graphs have symmetric Matchings
Jan Fricke
Assume that there is a free group action of automorphisms on a bipartite graph. If there is a perfect matching on the factor graph, then obviously there is a perfect matching on th…
On multiplicity of mappings between surfaces
Semeon Bogatyi, Jan Fricke, Elena Kudryavtseva
Let M and N be two closed (not necessarily orientable) surfaces, and f a continuous map from M to N. By definition, the minimal multiplicity MMR[f] of the map f denotes the minimal…
Points on Hemispheres
Jan Fricke
We will show that for any points on the -dimensional sphere there is a closed hemisphere which contains at least of these points.…
On Heron Simplices and Integer Embedding
Jan Fricke
In "Unsolved Problems in Number Theory" problem D22 Richard Guy asked for the existence of simplices with integer lengths, areas, volumes... In dimension two this is well known, th…