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Table 2 The averaged values of the Helmholtz-Hodge potential for firms in individual sectors, which are listed in their descending order corresponding to the direction of upstream to downstream in the TSR transaction network

From: Community structure based on circular flow in a large-scale transaction network

Industry Mean of the potential
Mining 0.412
Manufacturing 0.388
Transport & Postal 0.353
Information & Communications 0.348
Construction 0.216
Scientific Research, Professional & Technical Services 0.103
Wholesale 0.084
Other Services 0.041
Agriculture -0.081
Fisheries -0.100
Compound Services -0.188
Electricity, Gas, Heat Supply & Water -0.274
Real Estate -0.380
Finance & Insurance -0.562
Retail Trade -0.602
Education, Learning Support -0.910
Living-related/Personal & Amusement Services -0.998
Government -1.100
Medical, Health Care & Welfare -1.247
Accommodations, Eating/Drinking Services -1.253
  1. The average of the potential for all firms is set to zero