Constructing graph of crypto financial instruments 2016-2017 Set of financial instruments represent the set of vertices of the graph. For any pair of vertices $i$ and $j$, an edge connecting them is added to the graph if the corresponding correlation coefficient  $C_{ij}$ based on the price  fluctuations of instruments $i$ and $j$ is greater than or equal to a specified threshold $\theta, (\theta ∈ [ − 1; 1])$. 

(Reference)


Finding correlation
Degree of distribution 
Analysis of cliques and independent sets in the market graph


I am wondering how to achieve the above? I am willing to understand the internal structure of the market.
Finding correlation - It has been described in the provided reference
Degree of distribution - Every decent package in which you build the network will have a function that will calculate the empirical distribution of the vertex degrees.
Analysis of cliques and independent sets in the market graph - This is a problem of Graph Clustering. There are many methods available. Start by reading this.