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Optimal Diameters of High Multiplicity g-Golomb Rulers

math.CO · 2026-05-14 · conditional · novelty 7.0

G(g, g+b) equals g + 2b - 2 when g meets the threshold (7/4)(b^{3/2} - b) + 1, with new bounds sqrt(8/9)(n-1)^{3/2} to (7/4)((n+1)^{3/2} - (n+1)) for the minimal diameter L(n) of n-element LM rulers.

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  • Optimal Diameters of High Multiplicity g-Golomb Rulers math.CO · 2026-05-14 · conditional · none · ref 6

    G(g, g+b) equals g + 2b - 2 when g meets the threshold (7/4)(b^{3/2} - b) + 1, with new bounds sqrt(8/9)(n-1)^{3/2} to (7/4)((n+1)^{3/2} - (n+1)) for the minimal diameter L(n) of n-element LM rulers.