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Knotty-Centrality: Finding the Connective Core of a Complex Network

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  • Murray Shanahan
  • Mark Wildie

Abstract

A network measure called knotty-centrality is defined that quantifies the extent to which a given subset of a graph’s nodes constitutes a densely intra-connected topologically central connective core. Using this measure, the knotty centre of a network is defined as a sub-graph with maximal knotty-centrality. A heuristic algorithm for finding subsets of a network with high knotty-centrality is presented, and this is applied to previously published brain structural connectivity data for the cat and the human, as well as to a number of other networks. The cognitive implications of possessing a connective core with high knotty-centrality are briefly discussed.

Suggested Citation

  • Murray Shanahan & Mark Wildie, 2012. "Knotty-Centrality: Finding the Connective Core of a Complex Network," PLOS ONE, Public Library of Science, vol. 7(5), pages 1-7, May.
    • Handle: RePEc:plo:pone00:0036579
    DOI: 10.1371/journal.pone.0036579
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    Cited by:

    1. Logan Harriger & Martijn P van den Heuvel & Olaf Sporns, 2012. "Rich Club Organization of Macaque Cerebral Cortex and Its Role in Network Communication," PLOS ONE, Public Library of Science, vol. 7(9), pages 1-13, September.
    2. Su, Kai & Yu, Qiang & Yue, Depeng & Zhang, Qibin & Yang, Lan & Liu, Zhili & Niu, Teng & Sun, Xiaoting, 2019. "Simulation of a forest-grass ecological network in a typical desert oasis based on multiple scenes," Ecological Modelling, Elsevier, vol. 413(C).
    3. Shen, Xin & Han, Yue & Li, Wenqian & Wong, Ka-Chun & Peng, Chengbin, 2021. "Finding core–periphery structures in large networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).
    4. Danielle S Bassett & Nicholas F Wymbs & M Puck Rombach & Mason A Porter & Peter J Mucha & Scott T Grafton, 2013. "Task-Based Core-Periphery Organization of Human Brain Dynamics," PLOS Computational Biology, Public Library of Science, vol. 9(9), pages 1-16, September.
    5. David Samu & Anil K Seth & Thomas Nowotny, 2014. "Influence of Wiring Cost on the Large-Scale Architecture of Human Cortical Connectivity," PLOS Computational Biology, Public Library of Science, vol. 10(4), pages 1-24, April.

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