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Questions about the branch of combinatorics called graph theory (not to be used for questions concerning the graph of a function). This tag can be further specialized via using it in combination with more specialized tags such as extremal-graph-theory, spectral-graph-theory, algebraic-graph-theory, topological-graph-theory, random-graphs, graph-colorings and several others.

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Visualizing a graph

You could try to export this graph into a format readable by Gephi. While I have never used it for weighted adjacency matrices, it could be worth trying out.
ANSI C Mastah's user avatar