The permanent of a square matrix
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Publication:709260
DOI10.1016/j.ejc.2010.01.010zbMath1209.15012OpenAlexW2001102481WikidataQ56806475 ScholiaQ56806475MaRDI QIDQ709260
Publication date: 18 October 2010
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ejc.2010.01.010
symmetric tensorspermanentsquare matrixpartial differentiationprime characteristic caseRyser formula
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On the nuclear norm and the singular value decomposition of tensors ⋮ Near invariance of the hypercube ⋮ Majorization and the time complexity of linear optical networks ⋮ A stability result using the matrix norm to bound the permanent ⋮ The Hafnian master theorem ⋮ A bound for the Waring rank of the determinant via syzygies ⋮ On the tensor rank of $3\times 3$ permanent and determinant ⋮ Permanent v. determinant: an exponential lower bound assuming symmetry and a potential path towards Valiant's conjecture ⋮ On the distribution of Gini’s rank association index ⋮ Koszul-Young flattenings and symmetric border rank of the determinant ⋮ Implementation of photon partial distinguishability in a quantum optical circuit simulation ⋮ Strong simulation of linear optical processes ⋮ An invariant for matrices and sets of points in prime characteristic ⋮ Permanent formulae from the Veronesean ⋮ The factorization of the permanent of a matrix with minimal rank in prime characteristic ⋮ Fano schemes for generic sums of products of linear forms ⋮ A load share model for non-identical components of a \(k\)-out-of-\(m\) system ⋮ Mathematical studies of the dynamics of finite-size binary neural networks: a review of recent progress ⋮ On the classical complexity of sampling from quantum interference of indistinguishable bosons ⋮ Explicit tensors of border rank at least 2d−2 in Kd ⊗ Kd ⊗ Kd in arbitrary characteristic ⋮ New permanent approximation inequalities via identities ⋮ Towards quantum supremacy with lossy scattershot boson sampling ⋮ The Waring Rank of the 3 x 3 Permanent
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