Uniqueness of optimal covers for extremal matrices
Let be an extremal matrix, and let an optimal cover mean a hyperplane cover attaining the optimal covering weight of .
Uniqueness conjecture. Every extremal matrix has a unique optimal cover.
This conjecture concerns the structure of extremal matrices and their associated hyperplane-cover optimizers. The supplied source gives no resolution status.
References
Primary source
Anna A. Taranenko, “Multidimensional threshold matrices and extremal matrices of order 2”, arXiv:2210.12405 (2023).
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