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arXiv · 1808.05489

Invariant spanning trees for quadratic rational maps

Anastasia Shepelevtseva·Vladlen Timorin
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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.

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Anastasia Shepelevtseva, Vladlen Timorin. 2018-08-16. Invariant spanning trees for quadratic rational maps. https://doi.org/10.1007/s40598-019-00123-w

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