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Fast approximation of average shortest path length of directed BA networks

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  • Mao, Guoyong
  • Zhang, Ning

Abstract

The average shortest path length is an important feature for complex networks. However, for large networks, it is very difficult to compute it due to the limitation of computing power. By analyzing the node reachability from several real BA networks as the example, we brought forward the concept of Global Reachable Nodes and Local Reachable Nodes. We found that the average shortest path length of a BA network is determined by the Global Reachable Nodes. From the mechanism of the BA network we illustrated this feature and hereby presented a randomized approximation algorithm for computing the average shortest path length. We verified the accuracy of this algorithm using 8 different networks. For large-scale BA network with millions of nodes, the experiments indicate that our method can estimate its ASPL with high accuracy using only several hundreds of Global Reachable Nodes.

Suggested Citation

  • Mao, Guoyong & Zhang, Ning, 2017. "Fast approximation of average shortest path length of directed BA networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 243-248.
    • Handle: RePEc:eee:phsmap:v:466:y:2017:i:c:p:243-248
    DOI: 10.1016/j.physa.2016.09.025
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    1. Réka Albert & Hawoong Jeong & Albert-László Barabási, 1999. "Diameter of the World-Wide Web," Nature, Nature, vol. 401(6749), pages 130-131, September.
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    2. Xinhai Lu & Yanwei Zhang & Handong Tang, 2021. "Modeling and Simulation of Dissemination of Cultivated Land Protection Policies in China," Land, MDPI, vol. 10(2), pages 1-21, February.

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