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Deterministic Small-World Networks

Francesc Comellas·Michael Sampels
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Abstract

Many real life networks, such as the World Wide Web, transportation systems, biological or social networks, achieve both a strong local clustering (nodes have many mutual neighbors) and a small diameter (maximum distance between any two nodes). These networks have been characterized as small-world networks and modeled by the addition of randomness to regular structures. We show that small-world networks can be constructed in a deterministic way. This exact approach permits a direct calculation of relevant network parameters allowing their immediate contrast with real-world networks and avoiding complex computer simulations.

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Francesc Comellas, Michael Sampels. 2001-11-10. Deterministic Small-World Networks. https://doi.org/10.1016/s0378-4371(02)00741-0

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