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Visualizing large-scale structure of a
million-firms economic network
Yuji Fujita
Turnstone Research Institute
Yoshi Fujiwara
University of Hyogo
Wataru Souma
Nihon University
Overview
Graph drawing method proposal
Application to the Real Economic Network of
Japan
– 1.2 mils of companies
– 5.2 mils of links
● Supplier/customer
● Shareholding
– 500 bankruptcies since the Earthquake of 2011
Graph(network) drawing
● No naiive approach for large scale data
1: Graph structure based optimize
2: Embedded space based optimize
● In this study: Hybrid of 1 and 2. Graph structure
gives initial configuration, then force-directed
method applied.
Graph visualization criteria
● To recognize feature
● To identify
Hybrid for quality and efficiency
● MDS gives initial coordinate
– PMDS optimizes computation cost
● Force-directed method improves quality
– Barnes-Hut hierarchical algorithm reduces n**2 to
n*log_n
Identify Distinguish
MDS Good So-so
Force NG Good
Cover Image
Overall view in motion
Industrial sectors
Construction
Manufacturer
Infrastructure Wholesale
Daily fails
Conclusion
● Hybrid algorithm of MDS and force-directed
● Real economic network of Japan visualized
– Modular structure of industrial sectors
– Bankruptcy information visualized
Acknowledgements
● Grant-in-Aid for Scientific Research (KAKENHI)
Grant Numbers 25282094 by JSPS.
● Data is provided by the Research Institute of
Economy, Trade and Industry (RIETI) in
connection to the project ``Price Network and
Dynamics of Small and Medium Enterprises''

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Visualizing large-scale structure of a million-firms economic network