Type: Article

Finite rigid subgraphs of pants graphs

Hernández-Hernández, J., Leininger, C. J., Maunchang, R.;

Abstract:

Let Sg,n be an orientable surface of genus g with n punctures. We identify a finite rigid subgraph Xg,n of the pants graph P(Sg,n) , that is, a subgraph with the property that any simplicial embedding of Xg,n into any pants graph P(Sg?,n?) is induced by an embedding Sg,n?Sg?,n?. This extends results of the third author for the case of genus zero surfaces.