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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