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Table 2 This table calculates, for each edge inside lower hook \(2':7'\), how much it would increase (or decrease) in size if the algorithm shrunk lower hook \(2':7'\) into shrinkage locations from 1 to 5

From: RNA secondary structure factorization in prime tangles

Shrinkage location

3:3′

7:4′

6:5′

5:6′

Sum

Factors

1

+1

-1

-1

+1

0

\(T_6 \circ T_5 \circ T_4 \circ T_3\)

2

+1

-1

-1

+1

0

\(T_2 \circ T_6 \circ T_5 \circ T_4\)

3

+1

+1

-1

+1

2

\(T_2 \circ T_3 \circ T_6 \circ T_5\)

4

+1

+1

+1

+1

4

\(T_2 \circ T_3 \circ T_4 \circ T_6\)

5

+1

+1

+1

-1

2

\(T_2 \circ T_3 \circ T_4 \circ T_5\)

  1. The best shrinkage location is selected among those who have the minimal sum of these sizes (1 and 2 in this case). The rightmost column indicates which set of prime factors, when composed with the initial tangle, shrink the \(2':7'\) in the selected location