id: 05592626 dt: j an: 05592626 au: Ohnishi, Takaaki; Takayasu, Hideki; Takayasu, Misako ti: Hubs and authorities on Japanese inter-firm network: characterization of nodes in very large directed networks. so: Prog. Theor. Phys., Suppl. 179, 157-166 (2009). py: 2009 pu: Physical Society of Japan, Tokyo; Yukawa Institute for Theoretical Physics, Kyoto la: EN cc: ut: ci: li: doi:10.1143/PTPS.179.157 ab: Summary: Japanese inter-firm network which consists of about one million firms and four million directed links is analyzed by evaluating PageRank, and the authority and hub scores of HITS. We show scale-free degree distribution, power-law distribution of firm-size, fat-tailed distribution of growth rate, positive correlation between degree and firm-size, and similarities between degree and these scores. By comparing with randomized networks, we find that (i) the firm with large firm-size tends to have large PageRank, and small authority and hub scores, and (ii) PageRank correlates significantly with the growth rate which is hardly observed with other quantities. rv: