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

4 votes
1 answer
568 views

genus zero permutation and noncrossing partition

1,2,3, \cdots n)$ have a total of $n+1$ cycles, the largest possible (the permutations u are called permutations of genus 0) and the solution in this book is A coding of planar maps due to … But I do not understand why these and only these permutations have genus 0. …