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Regular version of the site

Article

Invariant Spanning Trees for Quadratic Rational Maps

Arnold Mathematical Journal. 2019. Vol. 5. P. 435-481.
Timorin V., Shepelevtseva A.

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.