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Effect of network size on comparing different stock networks

Author

Listed:
  • Kamrul Hasan Tuhin
  • Ashadun Nobi
  • Md Jafar Sadique
  • Mahmudul Islam Rakib
  • Jae Woo Lee

Abstract

We analyzed complex networks generated by the threshold method in the Korean and Indian stock markets during the non-crisis period of 2004 and the crisis period of 2008, while varying the size of the system. To create the stock network, we randomly selected N stock indices from the market and constructed the network based on cross-correlation among the time series of stock prices. We computed the average shortest path length L and average clustering coefficient C for several ensembles of generated stock networks and found that both metrics are influenced by network size. Since L and C are affected by network size N, a direct comparison of graph measures between stock networks with different numbers of nodes could lead to erroneous conclusions. However, we observed that the dependency of network measures on N is significantly reduced when comparing larger networks with normalized shortest path lengths. Additionally, we discovered that the effect of network size on network measures during the crisis period is almost negligible compared to the non-crisis periods.

Suggested Citation

  • Kamrul Hasan Tuhin & Ashadun Nobi & Md Jafar Sadique & Mahmudul Islam Rakib & Jae Woo Lee, 2023. "Effect of network size on comparing different stock networks," PLOS ONE, Public Library of Science, vol. 18(12), pages 1-15, December.
    • Handle: RePEc:plo:pone00:0288733
    DOI: 10.1371/journal.pone.0288733
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    References listed on IDEAS

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