Unknown

Dataset Information

0

Levy Walk Navigation in Complex Networks: A Distinct Relation between Optimal Transport Exponent and Network Dimension.


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.

SUBMITTER: Weng T 

PROVIDER: S-EPMC4658568 | biostudies-other | 2015

REPOSITORIES: biostudies-other

Similar Datasets

| S-EPMC4598630 | biostudies-literature
| S-EPMC5783941 | biostudies-literature
| S-EPMC6505560 | biostudies-literature
| S-EPMC4454141 | biostudies-literature
| S-EPMC8105014 | biostudies-literature
| S-EPMC6254241 | biostudies-literature
| S-EPMC8206356 | biostudies-literature
| S-EPMC3896191 | biostudies-other
| S-EPMC4568454 | biostudies-other
| S-EPMC3715509 | biostudies-literature