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Questions related to permutations, bijections from a finite (or sometimes infinite) set to itself.

2 votes

Graph of $S_n$ with respect to transposition

This is the undirected version of the Bruhat graph. To make the graph directed, direct an edge $\sigma \rightarrow \sigma'$ if $\ell(\sigma') > \ell(\sigma)$, where $\ell(\sigma)$ denotes the length …
Michael Joyce's user avatar