Invariant Spanning Trees for Quadratic Rational Maps

Invariant Spanning Trees for Quadratic Rational Maps

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 punc...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Arnold mathematical journal 2019-12, Vol.5 (4), p.435-481
Hauptverfasser: Shepelevtseva, Anastasia, Timorin, Vladlen
Format: Artikel
Sprache:eng
Schlagworte:
Combinatorial analysis
Graph theory
Invariants
Mathematics
Mathematics and Statistics
Research Contribution
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:2199-6792
2199-6806
DOI:10.1007/s40598-019-00123-w