Hierarchical levels, defined as the minimum-norm least-squares solution of a graph Laplacian equation, extend trophic analysis to arbitrary simple directed graphs and yield metrics that track SIS epidemic incidence.
Dynamical processes on complex networks
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Graph Hierarchy: A novel approach to understanding hierarchical structures in complex networks
Hierarchical levels, defined as the minimum-norm least-squares solution of a graph Laplacian equation, extend trophic analysis to arbitrary simple directed graphs and yield metrics that track SIS epidemic incidence.