On Supmodular Matrices

September 14, 2023 · The Ethereal · 🏛 Linear and multilinear algebra

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Authors Shmuel Onn arXiv ID 2309.07700 Category math.CO: Combinatorics Cross-listed cs.DM, cs.DS, math.OC Citations 0 Venue Linear and multilinear algebra Last Checked 3 months ago
Abstract
We consider the problem of determining which matrices are permutable to be supmodular. We show that for small dimensions any matrix is permutable by a universal permutation or by a pair of permutations, while for higher dimensions no universal permutation exists. We raise several questions including to determine the dimensions in which every matrix is permutable.
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