Partial transpose of permutation matrices
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Publication:3629006
zbMATH Open1202.05005arXiv0709.3547MaRDI QIDQ3629006
Author name not available (Why is that?)
Publication date: 26 May 2009
Abstract: The partial transpose of a block matrix M is the matrix obtained by transposing the blocks of M independently. We approach the notion of partial transpose from a combinatorial point of view. In this perspective, we solve some basic enumeration problems concerning the partial transpose of permutation matrices. More specifically, we count the number of permutations matrices which are equal to their partial transpose and the number of permutation matrices whose partial transpose is still a permutation. We solve these problems also when restricted to symmetric permutation matrices only.
Full work available at URL: https://arxiv.org/abs/0709.3547
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