Introduces the pants graph of a free group as a simplicial graph on pants decompositions, proves it is connected and unbounded via a coarsely surjective Out(F_n) orbit map and a coarsely Lipschitz map to the free splitting complex.
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The Pants Graph of a Free Group
Introduces the pants graph of a free group as a simplicial graph on pants decompositions, proves it is connected and unbounded via a coarsely surjective Out(F_n) orbit map and a coarsely Lipschitz map to the free splitting complex.