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Does mathematica have any measures of bilateral distance in a
Posted:
Jul 17, 2013 1:44 AM


Given a directed, weighted, graph with a particular number of connections between each node. For example represented by the matrix: A = {{0,1,1}, {5, 0, 1}, {1, 3, 0}}
Is there any measure to determine the relative strength of the connection between nodes in the graph (which includes the flow between nodes)? Obviously I can use things like eigenvector centrality to see the relative importance of a particular node as a whole, but what about bilateral measures? Here I would want something asymmetric. i.e. node 3 flows into 1 both directly and indirectly, but not much flows from node 1 into 3.
If mathematica doesn't have such an algorithm, does anyone know the name of a good algorithm (hopefully using spectral graph theory) to calculate some sort of measure? Bonus points if it allows self connections (e.g. A = {{8,1,1}, {5, 2, 1}, {1, 3, 1}})



