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  1. 4 Ιουν 1998 · The neural network of the worm Caenorhabditis elegans, the power grid of the western United States, and the collaboration graph of film actors are shown to be small-world networks.

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  2. 2 Αυγ 2023 · Twenty-five years ago, Duncan Watts and Steven Strogatz published ‘Collective dynamics of ‘small-world’ networks’, a paper that helped kickstart the modern era of network science.

  3. The WattsStrogatz model is a random graph generation model that produces graphs with small-world properties, including short average path lengths and high clustering. It was proposed by Duncan J. Watts and Steven Strogatz in their article published in 1998 in the Nature scientific journal. [1]

  4. A small-world network is a graph characterized by a high clustering coefficient and low distances. On an example of social network, high clustering implies the high probability that two friends of one person are friends themselves.

  5. It was in this context 25 years ago that Duncan Watts and Steven Strogatz published ‘Collective dynamics of ‘small-world’ networks’, a paper that helped kickstart the modern era of network...

  6. The neural network of the worm Caenorhabditis elegans, the power grid of the western United States, and the collaboration graph of film actors are shown to be small-world networks. Models of dynamical systems with small-world coupling display enhanced signal-propagation speed, computational power, and synchronizability.

  7. The small-world phenomenon formalized in this article as the coinci- dence of high local clustering and short global separation, is shown to be a general feature of sparse, decentralized networks that are neither completely ordered nor completely random.

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