## Hamiltonian Submanifolds of Regular Polytopes

- Felix Effenberger, Wolfgang Kühnel
- Discrete & Computational Geometry
- 2010

Hamiltonian cycles on the edge graphs of the regular polytopes in three and four dimensions are investigated with the primary goal of finding complete multi-colored coverages of all the edges in the graph. The concept of a Hamiltonian path is then extended to the notion of Hamiltonian twomanifolds that visit all the given edges exactly once. For instance… (More)