Visualizing a large-scale structure of production network by N-body simulation

Details Visualizing a large-scale structure of production network by N-body simulation Visualizing a large-scale structure of production network by N-body simulation

2009-01-16

arxiv.org/abs/0901.2381v1

Economy

Quantitative Finance

General Finance

Scientific paper

Our recent study of a nation-wide production network uncovered a community structure, namely how firms are connected by supplier-customer links into tightly-knit groups with high density in intra-groups and with lower connectivity in inter-groups. Here we propose a method to visualize the community structure by a graph layout based on a physical analogy. The layout can be calculated in a practical computation-time and is possible to be accelerated by a special-purpose device of GRAPE (gravity pipeline) developed for astrophysical N-body simulation. We show that the method successfully identifies the communities in a hierarchical way by applying it to the manufacturing sector comprising tenth million nodes and a half million edges. In addition, we discuss several limitations of this method, and propose a possible way to avoid all those problems.

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