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The identity matrix is given as the non-redundant count of reactions in the given level of the alignment over the count of all reactions in the set of consortia.

BM = binary matrix representing all edges in the set of consortia

BM(i<jA(2)(i,j)+A(N))(i<j<kA(3)(i,j,k)+A(N)) \sum \text{BM} - \left( \sum_{i < j} A^{(2)}(i,j) + A^{(N)} \right) - \left( \sum_{i < j < k} A^{(3)}(i,j,k) + A^{(N)} \right)

  • How does this score compare against the tanimoto coefficient?