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Θ-Kirchhoff Edge Centrality


Definition

In use the well-known Kirchhoff index as the measure of edge centrality in weighted networks, called Θ-Kirchhoff edge centrality. The Kirchhoff index of a network is defined as the sum of effective resistances over all vertex pairs. The centrality of an edge e is reflected in the increase of Kirchhoff index of the network when the edge e is partially deactivated, characterized by a parameter Θ.

References

  • Li, H. and Zhang, Z., 2017. Kirchhoff Index As a Measure of Edge Centrality in Weighted Networks: Nearly Linear Time Algorithms. arXiv preprint arXiv:1708.05959. Publisher web site


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