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Betweenness Centrality (BC) is a well-known network measure proposed by Freeman (1977) in the realm of social networks. One limitation to applying BC to spatial networks is its underlying assumption that all pairs of nodes exchange equal amounts of information, thereby minimizing the influence of distances in the network. To address this limitation, the Freeman-Krafta (FK) Centrality was proposed by Krafta (1994), incorporating the length of the shortest paths into its calculation. This paper presents a comparative analysis of BC and FK Centrality to assess their suitability for urban studies. Both measures are tested on theoretical networks with varying orders and configurations and the statistical and spatial behaviors are examined. In addition, a sample of small and medium-sized cities in southern Brazil is included in this comparison. The results indicate that while the spatial distributions of BC and FK seem visually similar, their values and values ranking differ, particularly in larger and more hierarchical networks. Notably, the FK Centrality demonstrates greater sensitivity to the relative position of network nodes, a crucial attribute for urban network analysis.

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Centrality in Urban Networks: An Applied Comparison Between Freeman-Krafta and Betweenness Centralities

  • 会议论文

  • 发表日期：

    2025年

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  • Ana Paula Neto de Faria,
  • Gustavo Maciel Gonçalves,
  • Alice Rauber,
  • Clarice Maraschin,
  • Bárbara Giaccom,
  • Ramon Lucato de Aguilar

摘要

Betweenness Centrality (BC) is a well-known network measure proposed by Freeman (1977) in the realm of social networks. One limitation to applying BC to spatial networks is its underlying assumption that all pairs of nodes exchange equal amounts of information, thereby minimizing the influence of distances in the network. To address this limitation, the Freeman-Krafta (FK) Centrality was proposed by Krafta (1994), incorporating the length of the shortest paths into its calculation. This paper presents a comparative analysis of BC and FK Centrality to assess their suitability for urban studies. Both measures are tested on theoretical networks with varying orders and configurations and the statistical and spatial behaviors are examined. In addition, a sample of small and medium-sized cities in southern Brazil is included in this comparison. The results indicate that while the spatial distributions of BC and FK seem visually similar, their values and values ranking differ, particularly in larger and more hierarchical networks. Notably, the FK Centrality demonstrates greater sensitivity to the relative position of network nodes, a crucial attribute for urban network analysis.