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Article overview
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Searching in small-world networks | | Alessandro P S de Moura
; Adilson E Motter
; Celso Grebogi
; | | Date: |
31 Aug 2003 | | Journal: | Phys Rev E, 68 (3 Pt 2), 036106 | | Abstract: | We study the average time it takes to find a desired node in the Watts-Strogatz family of networks. We consider the case when the look-up time can be neglected and when it is important, where the look-up time is the time needed to choose one among all the neighboring nodes of a node at each step in the search. We show that in both cases, the search time is minimum in the small-world regime, when an appropriate distance between the nodes is defined. Through an analytical model, we show that the search time scales as N(1/D(D+1)) for small-world networks, where N is the number of nodes and D is the dimension of the underlying lattice. This model is shown to be in agreement with numerical simulations. | | Source: | PubMed, pmid14524831 | | Services: | Forum | Review | Favorites | |
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