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Table 2 Distribution of number of nonzero rows in BNs when K = 1

From: On optimal control policy for probabilistic Boolean network: a state reduction approach

Number of nonzero rows in BN Number of BNs in all the (2n)nBNs
2n n!2n
2(n-k)k = 1,2,...,(n - 1) n ! C n n k 2 n j = 1 k C n k j i = 1 j A i = k + i A i > 2 , i = 1 , 2 , ... , j 1 A 1 ! ... A i !