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Tagged with permanent enumerative-combinatorics
2 questions
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Calculating permanents via Branch and Bound
Permanents can be interpreted as counting directed cycle covers of an asymmetric graph with unit cost edge weights.
That interpretation leads to a branch and bound algorithm for calculating the ...
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Number of extremal $\{0,1\}$ matrices having permanent $1$ property
Is there a function which describes the number of $\{0,1\}^{n\times n}\cap\mathbb Z^{n\times n}$ matrices having permanent $1$?
I think it might be $\mathsf{poly}(n!)$ bounded.
Is there a function ...