Trophic coherence, a measure of how aligned a directed network's edges are with a global direction, is shown to tie together non-normality, spectral radius, strong connectivity, and a majority-rule phase transition at critical coherence q_c=1.
Interaction strength c ombinations and the over- fishing of a marine food web,
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Digraphs are different: Why directionality matters in complex systems
Trophic coherence, a measure of how aligned a directed network's edges are with a global direction, is shown to tie together non-normality, spectral radius, strong connectivity, and a majority-rule phase transition at critical coherence q_c=1.