A New Vertex Connectivity Metric

A new metric for quantifying pairwise vertex connectivity in graphs is defined and an implementation presented. While general in nature, it features a combination of input features well-suited for social networks, including applicability to directed or undirected graphs, weighted edges, and computes using the impact from all-paths between the vertices. Moreover, the $O(V+E)$ method is applicable to large graphs. Comparisons with other techniques are included.