MINIMUM PERMANENTS OF DOUBLY STOCHASTIC MATRICES WITH k DIAGONAL p×p BLOCK SUBMATRICES

Abstract

For positive integers $\kappa$ and p$\geq$3, let(equation omitted) where $J_{p}$ is the p${\times}$p matrix whose entries are all 1. Then, we determine the minimum permanents and minimizing matrices over (1) the face of $\Omega$(D) and (2) the face of $\Omega$($D^{*}$), where (equation omitted).

Keywords

• permanent;
• doubly stochastic matrix;
• barycentric matrix

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References

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Cited by

1. Remarks and open problems on the minimum permanent of acyclic doubly stochastic matrices vol.61, pp.3, 2013, https://doi.org/10.1080/03081087.2012.675332