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On integral polytopes related to Edmonds' problem

Hirai, Hiroshi
arXiv (All) · Papers
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52b12combinatoricsdiscrete-mathematics
In this paper, we study polyhedral aspects on commutative and noncommutative Edmonds' problems for computing the rank of linear symbolic matrix $A = \sum_{k=1}^m A_k x_k$. We regard them as linear optimization over integral polytopes ${\cal P}(A)$ and ${\cal Q}(A)$, respectively, which are obtained
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