Counting unlabelled toroidal graphs with no K33-subdivisions
Andrei Gagarin, Gilbert Labelle, Pierre Leroux · arXiv (Cornell University) · 2005
We provide a description of unlabelled enumeration techniques, with complete proofs, for graphs that can be canonically obtained by substituting 2-pole networks for the edges of core graphs. Using structure theorems for toroidal and projective-planar graphs containing no K33-subdivisions, we apply these techniques to obtain their unlabelled enumeration.