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arXiv · 1611.10159

Bridges in Complex Networks

Ang-Kun Wu·Liang Tian·Yang-Yu Liu
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Abstract

A bridge in a graph is an edge whose removal disconnects the graph and increases the number of connected components. We calculate the fraction of bridges in a wide range of real-world networks and their randomized counterparts. We find that real networks typically have more bridges than their completely randomized counterparts, but very similar fraction of bridges as their degree-preserving randomizations. We define a new edge centrality measure, called bridgeness, to quantify the importance of a bridge in damaging a network. We find that certain real networks have very large average and variance of bridgeness compared to their degree-preserving randomizations and other real networks. Finally, we offer an analytical framework to calculate the bridge fraction , the average and variance of bridgeness for uncorrelated random networks with arbitrary degree distributions.

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Ang-Kun Wu, Liang Tian, Yang-Yu Liu. 2017-02-11. Bridges in Complex Networks. https://doi.org/10.1103/physreve.97.012307

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