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Geographical borders significantly impact network structures, creating distinct communities. This study quantises border effects on European and US patent networks, revealing differing connectivity patterns.

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Area of Science:

  • Network Science
  • Spatial Analysis
  • Innovation Studies

Background:

  • Geographical borders and administrative divisions influence network topology and community formation.
  • Internationalization pressures in science and technology contrast with national/regional institutional borders.
  • Understanding border impacts is crucial for scientific and technological policy-making.

Purpose of the Study:

  • To quantify the impact of borders on the community structure of spatially embedded networks.
  • To analyze the European and US patent co-inventor networks as case studies.
  • To introduce and apply an 'outreach index' for measuring border effects.

Main Methods:

  • Development and application of an outreach index to assess border influence on network communities.
  • Analysis of European and US patent co-inventor networks.
  • Conducting simulations to explore cross-border community structures and their relation to the outreach index.

Main Results:

  • US network connectivity exhibits a power-law decay with distance; European network connectivity shows a faster exponential decay.
  • European network communities largely align with national and contiguous regional boundaries.
  • US network communities transcend state lines, spanning the entire country without a characteristic geographic scale.

Conclusions:

  • Borders play a significant role in shaping network community structures, with distinct patterns observed between Europe and the US.
  • The outreach index effectively quantifies the impact of borders on network topology and community formation.
  • Findings highlight the tension between global innovation trends and national/regional administrative structures.