Directional Bias between Communities of a Production Network in Japan
We investigate a production network constructed by about 800 thousand firms in Japan with focus on its transaction flow between communities. Communities detected by maximizing modularity often contain nodes with common properties such as characterized by regions or industry sectors. Communities may thus upstream-downstream relationship according to their characteristics. Such directional bias of the connections between communities is evaluated through a polarization matrix of the network direction. We also devise a visualization method for directed network based on physical model. We attempt to draw a map of Japanese transaction flow in viewpoint of community structure.
KeywordsLarge Community Industry Sector Production Network Subset Versus Directional Bias
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- 1.Newman, M.E.J., Girvan, M.: Phys. Rev. E 69, 026113 (2004)Google Scholar
- 2.Newman, M.E.J.: Phys. Rev. E 69, 066133 (2004)Google Scholar
- 5.Iino, T., Kamehama, K., Iyetomi, H., Ikeda, Y., Ohnishi, T., Takayasu, H., Takayasu, M.: J. Phys.: Conf. Ser. 221, 012012 (2010)Google Scholar
- 6.Kamehama, K., Iino, T., Iyetomi, H., Ikeda, Y., Ohnishi, T., Takayasu, H., Takayasu, M.: J. Phys.: Conf. Ser. 221, 012013 (2010)Google Scholar
- 8.Clauset, A., Newman, M.E.J., Moore, C.: Phys. Rev. E 70, 066111 (2004)Google Scholar
- 9.Blondel, V.D., Guillaume, J.-L., Lambiotte, R., Lefebvre, E.: J. Stat. Mech., p. 10008 (2008)Google Scholar
- 10.Di Battista, G., Eades, P., Tamassia, R., Tollis, I.G.: Graph Drawing: Algorithms for the Visualization of Graphs. Prentice Hall, Englewood Cliffs (1998)Google Scholar
- 11.Hu, Y.: The Math. J. 10, 37 (2006)Google Scholar
- 13.Frenkel, D., Smit, B.: Understanding Molecular Simululation: From Algorithms to Applications, 2nd edn. Academic Press, San Diego (2002)Google Scholar