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A grid generalisation of the Kruskal-Katona theorem

math.CO · 2019-08-06 · conditional · novelty 7.0

For the d-shadow on grids [k]^n, initial segments of a colex-type order minimize shadow size, and the same holds for layers with exactly r non-zero coordinates.

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  • A grid generalisation of the Kruskal-Katona theorem math.CO · 2019-08-06 · conditional · none · ref 1

    For the d-shadow on grids [k]^n, initial segments of a colex-type order minimize shadow size, and the same holds for layers with exactly r non-zero coordinates.