Money flow network among firms’ accounts in a regional bank of Japan

EPJ Data Science

Table A.1 Summary of network properties

Property	Value	Note
Number of nodes	30,613	notation: N
Number of edges	280,864	notation: M
Density	0.0003	definition: M/N(N − 1)
Diameter	14	maximum of all shortest paths
Characteristic path length	4.2	average of all shortest paths
Number of multiple edges	0	by construction
Number of self-loops	0	by construction
Number of pairs of mutual edges	12,258	see (a)
Number of connected components	145	see (a)
Number of triangles	422,911	see (b)
Assortativity	−0.080	degree correlation; see (b)
Global clustering coefficient	0.035	see (b)

(a) A pair of mutual edges is such directed edges as i→j and j→i for a pair of nodes (i,j). (b) For the undirected version of the network, in which a pair of mutual edges, if any, is regarded as a single undirected edge.