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Large directed-graph layout and its application to a million-firms economic network

Author

Listed:
  • Yuji Fujita

    (Turnstone Research Institute)

  • Yoshi Fujiwara

    (University of Hyogo)

  • Wataru Souma

    (Nihon University)

Abstract

This study proposes a practical directed-graph drawing method that can be applied to large-scale relational data by modifying multidimensional scaling (MDS). We modified the mutual distance between the nodes to incorporate the link direction information in the distance matrix, from which the coordinate of the vertex is obtained. As the application of our method, we visualized the big data of real economy of Japan which includes a million companies and millions of relations, and we particularly deal with how firms are connected. Moreover, we discovered interesting features of the economic network. Firms are connected by links into tightly knit groups with high intragroup density and low intergroup connectivity community structures. We also found that the features of community structures are specific to individual industrial sectors, such as manufacturing, retail, wholesale, and construction.

Suggested Citation

  • Yuji Fujita & Yoshi Fujiwara & Wataru Souma, 2016. "Large directed-graph layout and its application to a million-firms economic network," Evolutionary and Institutional Economics Review, Springer, vol. 13(2), pages 397-408, December.
    • Handle: RePEc:spr:eaiere:v:13:y:2016:i:2:d:10.1007_s40844-016-0059-9
    DOI: 10.1007/s40844-016-0059-9
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    References listed on IDEAS

    as
    1. Takashi Iino & Hiroshi Iyetomi, 2015. "Community Structure of a Large-Scale Production Network in Japan," Advances in Japanese Business and Economics, in: Tsutomu Watanabe & Iichiro Uesugi & Arito Ono (ed.), The Economics of Interfirm Networks, edition 127, chapter 3, pages 39-65, Springer.
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    Cited by:

    1. Yuichi Kichikawa & Takashi Iino & Hiroshi Iyetomi & Hiroyasu Inoue, 2019. "Visualization of a directed network with focus on its hierarchy and circularity," Journal of Computational Social Science, Springer, vol. 2(1), pages 15-23, January.

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    More about this item

    Keywords

    Economic network; Directed-graph drawing; Multidimensional scaling;
    All these keywords.

    JEL classification:

    • Y8 - Miscellaneous Categories - - Related Disciplines

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