Feedback arcs and node hierarchy in directed networks
Zhao Jin-Hua1, 3, Zhou Hai-Jun1, 2, †
       

(color online) Rank plot on the frequency (probability) of each arc being a feedback arc. The arcs are ranked in decreasing order according to its frequency. The results are obtained by running the SA algorithm independently for 200 times on the same input network instance. (a) Regulatory network (FAS cardinality: 7) and Food web network (FAS cardinality: 6). (b) Neural network (FAS cardinality, mean and standard deviation: ). (c) Circuit network (FAS cardinality: 32±1). (d) Metabolic network (FAS cardinality: 556±2). (e) Wiki-Vote network (FAS cardinality: 3038±2). (f) P2P-share network (FAS cardinality: 2266±6).