2022-144

Consider the Network corresponding to the Adjacency Matrix A defined below. 

A=⎡⎣⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢0101000101100001000001100011000001000011010001010⎤⎦⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥

Build the Network using nodes 1 to 7. Then, for each node ni, calculate its respective Clustering Coefficient Ci, and then, use them to calculate the Average Clustering Coefficient, ⟨C⟩, of the entire Network. Once the calculation is done, state which of the options listed below represents the correct value of ⟨C⟩:

1. ~ 0.38.
2. ~ 0.43.
3. ~ 0.48.
4. ~ 0.51.
5. None of the above.

Original idea by: Fábio Assunção.