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In Ref. 9, it was shown that scale-free networks are generally more difficult to be synchronized, despite their smaller average network distances as compared with small-world networks. Intuitively, this is so mainly because of the highly heterogeneous degree distribution in scale-free networks that stipulates the existence of a small subset of nodes with extraordinarily larger numbers of links as compared with most nodes in the network. It was speculated in Ref. 9 that communication can be blocked at these nodes, reducing significantly the synchronizability of the whole network as compared with networks with more homogeneous degree distributions, such as small-world networks or random networks. However, for networks with similar characteristics, either homogeneous or heterogeneous, the average network distance (or diameter) is the determining factor for synchronizability (Ref. 8).
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In Ref., it was shown that scale-free networks are generally more difficult to be synchronized, despite their smaller average network distances as compared with small-world networks. Intuitively, this is so mainly because of the highly heterogeneous degree distribution in scale-free networks that stipulates the existence of a small subset of nodes with extraordinarily larger numbers of links as compared with most nodes in the network. It was speculated in Ref. that communication can be blocked at these nodes, reducing significantly the synchronizability of the whole network as compared with networks with more homogeneous degree distributions, such as small-world networks or random networks. However, for networks with similar characteristics, either homogeneous or heterogeneous, the average network distance (or diameter) is the determining factor for synchronizability (Ref.).
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