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Three-Edges and the SOS Rank of Biquadratic Forms

math.CO · 2026-05-11 · unverdicted · novelty 6.0

Introduces 3-edges and generalized cycle-free conditions to prove that SOS rank equals total edge count for triply simple biquadratic forms and applies the method to improve lower bounds on z_3L and BSR.

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  • Three-Edges and the SOS Rank of Biquadratic Forms math.CO · 2026-05-11 · unverdicted · none · ref 10

    Introduces 3-edges and generalized cycle-free conditions to prove that SOS rank equals total edge count for triply simple biquadratic forms and applies the method to improve lower bounds on z_3L and BSR.