- a) Identify all the possible 3-cliques and 4-cliques in this network - b) Identify any 2-plex in this network - c) Identify any 2-core and 3-core in this network. Is there any 4-core? - d) Identify any 2-components in this network. Is there any 3-component? - e) Calculate the global clustering coefficient of this network - f) Calculate the local clustering coefficient of each node of this network. Is the Watts-Strogatz clustering coefficient of this network equal to the global clustering coefficient determined in question e)? - g) List the local clustering coefficients and the degrees of all the nodes, in order of degrees (smaller to higher) Do you detect any correlation between degree and clustering coefficient, as discussed in class? Can you guess why? \begin{tabular}{|l|l|l|} \hline Name & Degree & Local clustering coeffcient \\ \hline & & \\ \hline & & \\ \hline & & \\ \hline & & \\ \hline & & \\ \hline & & \\ \hline \end{tabular}