Abstract:
:We investigate, for the first time, navigation on networks with a Lévy walk strategy such that the step probability scales as pij ~ dij(-α), where dij is the Manhattan distance between nodes i and j, and α is the transport exponent. We find that the optimal transport exponent α(opt) of such a diffusion process is determined by the fractal dimension df of the underlying network. Specially, we theoretically derive the relation α(opt) = df + 2 for synthetic networks and we demonstrate that this holds for a number of real-world networks. Interestingly, the relationship we derive is different from previous results for Kleinberg navigation without or with a cost constraint, where the optimal conditions are α = df and α = df + 1, respectively. Our results uncover another general mechanism for how network dimension can precisely govern the efficient diffusion behavior on diverse networks.
journal_name
Sci Repjournal_title
Scientific reportsauthors
Weng T,Small M,Zhang J,Hui Pdoi
10.1038/srep17309subject
Has Abstractpub_date
2015-11-25 00:00:00pages
17309issn
2045-2322pii
srep17309journal_volume
5pub_type
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