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math.CO 1

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2024 1

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CONDITIONAL 1

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A note on the no-$(d+2)$-on-a-sphere problem

math.CO · 2024-12-03 · conditional · novelty 7.0

A new construction gives subsets of the d-dimensional lattice cube of size n^{3/(d+1)-o(1)} with no d+2 points on a sphere or hyperplane, improving Thiele's 1995 bound.

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  • A note on the no-$(d+2)$-on-a-sphere problem math.CO · 2024-12-03 · conditional · none · ref 8

    A new construction gives subsets of the d-dimensional lattice cube of size n^{3/(d+1)-o(1)} with no d+2 points on a sphere or hyperplane, improving Thiele's 1995 bound.