Finite rigid subgraphs of the pants graphs of punctured spheresReport as inadecuate



 Finite rigid subgraphs of the pants graphs of punctured spheres


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We prove a strong form of finite rigidity for pants graphs of spheres. Specifically, for any n greater or equal to 5, we construct a finite subgraph X n of the pants graph P(S {0,n}) of the n-punctures 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}.



Author: Rasimate Maungchang

Source: https://archive.org/







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