2021/12/15 by Costa, Joel
#05B99 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2112.08007
We define bicolored tilings as a disk with a collection of smooth curves with a coloring map on the tiles that these curves delimit. Using two transformations, we define an equivalence on tilings. We then define the Scott map which creates a bijection between a generalised version of Postnikov diagrams and bicolored tilings, preserving equivalences, and mapping the geometric exchange of a diagram to an edge flip in a tiling.