On convex permutations
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A selection of points drawn from a convex polygon, no two with the same vertical or horizontal coordinate, yields a permutation in a canonical fashion. We characterise and enumerate those permutations which arise in this manner and exhibit some interesting structural properties of the permutation class they form. We conclude with a permutation analogue of the celebrated Happy Ending Problem.
Albert , M H , Linton , S A , Ruskuc , N , Vatter , V & Waton , S 2011 , ' On convex permutations ' , Discrete Mathematics , vol. 311 , no. 8-9 , pp. 715-722 . https://doi.org/10.1016/j.disc.2011.01.009
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