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.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3348887 | PMC |
| http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0036579 | PLOS |
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