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Yi-Sheng Song

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Preprint Sep 2026

New Bounds for Limited Zarankiewicz Numbers from $K_{5t}$ Blocks

The restricted augmented Zarankiewicz number \(z_L(m,n)\) yields core combinatorial lower bounds for the maximal SOS rank of biquadratic forms. All previously known infinite admissible graph families rely on \(K_{4t}\) incidence graphs, attaining an asymptotic relative gap limit of \(1/4\). This work develops a new inf...

Han-Xin Liu, Yi-Sheng Song · 1 citation

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