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Showing 1 to 1 of 1 for “"arc presentation"”.
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Crossing Number Bounds of Mosaic Knot Diagrams
… to a ``grid diagram" which is equivalent to the arc presentation of a knot diagram. We generate grid diagrams using pairs of permutations from the group $((S_{n-1}\times S_n)$. These permutations form a set of coordinate pairs that locate the position of a turn tile in the diagram.