Portraits of Complex Networks

Details Portraits of Complex Networks Portraits of Complex Networks

2007-03-19

arxiv.org/abs/cond-mat/0703470v2

EPL 81 (2008) 68004

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 9 figures

Scientific paper

10.1209/0295-5075/81/68004

We propose a method for characterizing large complex networks by introducing a new matrix structure, unique for a given network, which encodes structural information; provides useful visualization, even for very large networks; and allows for rigorous statistical comparison between networks. Dynamic processes such as percolation can be visualized using animations. Applications to graph theory are discussed, as are generalizations to weighted networks, real-world network similarity testing, and applicability to the graph isomorphism problem.

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