Approximate von Neumann entropy for directed graphs.

  title={Approximate von Neumann entropy for directed graphs.},
  author={Cheng Ye and Richard C. Wilson and Cesar H. Comin and Luciano da Fontoura Costa and Edwin R. Hancock},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={89 5},
In this paper, we develop an entropy measure for assessing the structural complexity of directed graphs. Although there are many existing alternative measures for quantifying the structural properties of undirected graphs, there are relatively few corresponding measures for directed graphs. To fill this gap in the literature, we explore an alternative technique that is applicable to directed graphs. We commence by using Chung's generalization of the Laplacian of a directed graph to extend the… CONTINUE READING
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