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Kleinberg Navigation on Anisotropic Lattices
Joint Authors
Bagrow, J. P.
Campuzano, J. M.
ben-Avraham, D.
Source
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-11-16
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
We study the Kleinberg problem of navigation in small-world networks when the underlying lattice is stretched along a preferred direction.
Extensive simulations confirm that maximally efficient navigation is attained when the length r of long-range links is taken from the distribution P(r)∼r−α, when the exponent α is equal to 2, the dimension of the underlying lattice, regardless of the amount of anisotropy, but only in the limit of infinite lattice size, L→∞.
For finite size lattices we find an optimal α(L) that depends strongly on L.
The convergence to α=2 as L→∞ shows interesting power-law dependence on the anisotropy strength.
American Psychological Association (APA)
Campuzano, J. M.& Bagrow, J. P.& ben-Avraham, D.. 2008. Kleinberg Navigation on Anisotropic Lattices. Research Letters in Physics،Vol. 2008, no. 2008, pp.1-4.
https://search.emarefa.net/detail/BIM-464574
Modern Language Association (MLA)
Campuzano, J. M.…[et al.]. Kleinberg Navigation on Anisotropic Lattices. Research Letters in Physics No. 2008 (2008), pp.1-4.
https://search.emarefa.net/detail/BIM-464574
American Medical Association (AMA)
Campuzano, J. M.& Bagrow, J. P.& ben-Avraham, D.. Kleinberg Navigation on Anisotropic Lattices. Research Letters in Physics. 2008. Vol. 2008, no. 2008, pp.1-4.
https://search.emarefa.net/detail/BIM-464574
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464574