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Closeness Centrality of a Graph

The aim of this code is implement a simples algorithm to extract a metric called "closeness centrality" from a social network graph.

Centrality metrics try to approximate a measure of influence of an individual within a social network (see details here). The distance between any two vertices is their shortest path. The farness of a given vertex v is the sum of all distances from each vertex to v. Finally, the closeness of a vertex v is the inverse of the farness.

The graph is represented by a matrix of edges between nodes. It is a 995x2 matrix, which each line correspond to vertex names separated by a single space, representing an edge between those two nodes.