Biased diffusion on the Japanese inter-firm trading network: estimation of sales from the network structure

  title={Biased diffusion on the Japanese inter-firm trading network: estimation of sales from the network structure},
  author={Hayafumi Watanabe and Hideki Takayasu and Misako Takayasu},
  journal={New Journal of Physics},
To investigate the actual phenomenon of transport on a complex network, we analysed empirical data for an inter-firm trading network, which consists of about one million Japanese firms, and the sales of these firms (a sale corresponds to the total in-flow into a node). First, we analysed the relationships between sales and sales of nearest neighbourhoods, from which we obtained a simple linear relationship between sales and the weighted sum of sales of nearest neighbourhoods (i.e. customers… 
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