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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > TRACE NORM:
Reports tagged with trace norm:
TR25-088 | 1st July 2025
Igor Balla, Lianna Hambardzumyan, Istvan Tomon

Factorization norms and an inverse theorem for MaxCut

We prove that Boolean matrices with bounded $\gamma_2$-norm or bounded normalized trace norm must contain a linear-sized all-ones or all-zeros submatrix, verifying a conjecture of Hambardzumyan, Hatami, and Hatami. We also present further structural results about Boolean matrices of bounded $\gamma_2$-norm and discuss applications in communication complexity, operator theory, spectral ... more >>>




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