企業間ネットワークの数理構造 [in Japanese] Mathematical Structure of an Inter-Firm Network [in Japanese]
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Firms build business relationships during economic activities. We empirically analyze an inter-firm network consisting of about one million firms and four million directed links by evaluating PageRank and specifying network motifs. The topology of the network exhibits both small-world and scale-free properties. By comparing with randomized networks, we find that PageRank correlates significantly with the growth rate of the firm. By specifying network motifs, which are small subgraphs that occur more frequently than expected in a randomly generated network, we find that V-shaped triads are network motifs, while feedforward and feedback loop are anti-motifs. By defining roles in the subgraph according to structural equivalence, we also detect the significance profile of roles characterizing the industry sector. The taxonomy of industries obtained from the profiles is economically meaningful. These empirical findings provide a valuable insight into the relationship between the network structure and the economic function.
- Bulletin of the Japan Society for Industrial and Applied Mathematics
Bulletin of the Japan Society for Industrial and Applied Mathematics 20(3), 223-235, 2010
The Japan Society for Industrial and Applied Mathematics