Invariant spanning trees for quadratic rational maps
arXiv:1808.05489 · doi:10.1007/s40598-019-00123-w
Abstract
We study Thurston equivalence classes of quadratic post-critically finite branched coverings. For these maps, we introduce and study invariant spanning trees. We give a computational procedure for searching for invariant spanning trees. This procedure uses bisets over the fundamental group of a punctured sphere. We also introduce a new combinatorial invariant of Thurston classes - the ivy graph.
arXiv commentA small but essential correction in Theorem A compared to the published version; 55 pages, 8 figures