Counting non-crossing permutations on surfaces of any genus

26 Sep 2019 Do Norman He Jian Mathews Daniel V.

Given a surface with boundary and some points on its boundary, a polygon diagram is a way to connect those points as vertices of non-overlapping polygons on the surface. Such polygon diagrams represent non-crossing permutations on a surface with any genus and number of boundary components... (read more)

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Categories


  • COMBINATORICS
  • GEOMETRIC TOPOLOGY