ACDRepo/partial_orders_on_lattice_paths_12x11

Dataset Card for Partial Orders on Lattice Paths from (0,0)(0,0)(0,0) to (12,11)(12,11)(12,11) Consider northeast lattice paths that travel along the edges of a grid from (0,0)(0, 0)(0,0) to (a,b)(a, b)(a,b), only taking steps north and east and never passing through the diagonal y=baxy = \frac{b}{a}xy=ab​x, where aaa and bbb are relatively prime. [1] defines two order relations on such paths called the matching ordering (≤M)(\leq_M)(≤M​) and the Lagrange ordering… See the full description on the dataset page: https://huggingface.co/datasets/ACDRepo/partial_orders_on_lattice_paths_12x11.