Hierarchical organization of H. Eugene Stanley scientific collaboration community in weighted network representation

摘要: By mapping the most advanced elements of contemporary social interactions, world scientific collaboration network develops an extremely involved and heterogeneous organization. Selected characteristics this heterogeneity are studied here identified by focusing on community H. Eugene Stanley - one prolific scholars at present time. Based Web Science records as March 28, 2016, several variants networks constructed. It is found that #1 in analogy to Erd\H{o}s # a largely consistent hierarchical organization himself obeys rules same hierarchy. However, seen exclusively weighted representation. When such evolving, existing relevant model indicates spread weight gets stimulation multiplicative bursts over neighbouring nodes, which leads balanced growth interconnections among them. While not exclusive Stanley, behaviour rule, however. Networks other outstanding more often develop star-like form central hubs constitute outliers. This study complemented spectral analysis normalised Laplacian matrices derived from corresponding and, others, it points efficiency procedure for identifying component communities relations them complex networks.