Smallest small-world network

Takashi Nishikawa, Adilson E. Motter, Ying-Cheng Lai, Frank C. Hoppensteadt

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)


Efficiency in passage times is an important issue in designing networks, such as transportation or computer networks. The small-world networks have structures that yield high efficiency, while keeping the network highly clustered. We show that among all networks with the small-world structure, the most efficient ones have a "single center" node, from which all shortcuts are connected to uniformly distributed nodes over the network. The networks with several centers and a connected subnetwork of shortcuts are shown to be "almost" as efficient. Genetic-algorithm simulations further support our results.

Original languageEnglish
Article number046139
Number of pages5
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Issue number4
Publication statusPublished - Oct 2002


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