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math.CO2025★ 1 cited
Factorization norms and an inverse theorem for MaxCut
Igor Balla, Lianna Hambardzumyan, István Tomon
We prove that Boolean matrices with bounded -norm or bounded normalized trace norm must contain a linear-sized all-ones or all-zeros submatrix, verifying a conjecture of Hamba…
math.CO2023★ 2 cited
Orthonormal representations, vector chromatic number, and extension complexity
Igor Balla
We construct a bipartite generalization of Alon and Szegedy's nearly orthogonal vectors, thereby obtaining strong bounds for several extremal problems involving the Lovász theta fu…