2021-039

Consider the two partitions below on the same network:

What are the modularities $M_a$ and $M_b$ of the partitions in pictures $a$ and $b$, respectively? Round the result to two decimal places, if necessary.

1. $M_a=0.20$ and $M_b=0.30$
2. $M_a=0.20$ and $M_b=0.34$
3. $M_a=0.24$ and $M_b=0.30$
4. $M_a=0.24$ and $M_b=0.34$
5. None of the above.

Original idea by: Bruno Almêda