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Figure 4 | BMC Evolutionary Biology

Figure 4

From: Evolutionary versatility of eukaryotic protein domains revealed by their bigram networks

Figure 4

The greedy procedure of k -core decomposition. The k-core decomposition procedure is illustrated with the toy example (from top to bottom, k = 1, 2, 3). Note that nodes with high degrees do not always reside in a k-shell with large k (see the comparison of nodes A, F, E and I for that matter in the legend box). Taking nodes F and G for example (in red), despite the fact they have the highest degree of connectivity (4) and are directly connected to the core nodes (A-D in yellow), they have the lowest k value (1). This indicates that via k-core decomposition, F and G are rated as peripheral hub nodes that have low contribution to the global integrity of the network.

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