Hubs and Authorities on Japanese Inter-Firm Network:Characterization of Nodes in Very Large Directed Networks

摘要

Japanese inter-firm network which consists of about one million firms and four milliondirected links is analyzed by evaluating PageRank, and the authority and hub scores ofHITS. We show scale-free degree distribution, power-law distribution of firm-size, fat-taileddistribution of growth rate, positive correlation between degree and firm-size, and similaritiesbetween 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 andhub scores, and (ii) PageRank correlates significantly with the growth rate which is hardlyobserved with other quantities.