Finite rigid subgraphs of the pants graphs of punctured spheres

Rasimate Maungchang

doi:10.1016/j.topol.2018.01.009

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arXiv · 1303.3873

Finite rigid subgraphs of the pants graphs of punctured spheres

Rasimate Maungchang

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Abstract

We prove a strong form of finite rigidity for pants graphs of spheres. Specifically, for any $n\geq4$, we construct a finite subgraph $X_n$ of the pants graph $P(S_{0,n})$ of the n-punctured sphere $S_{0,n}$ with the following property. Any simplicial embedding of $X_n$ into any pants graph $P(S_{0,m})$ of a punctured sphere is induced by an embedding $S_{0,n} \to S_{0,m}$.

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BibTeX RIS

Rasimate Maungchang. 2013-03-15. Finite rigid subgraphs of the pants graphs of punctured spheres. https://doi.org/10.1016/j.topol.2018.01.009

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