Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10482275 | Physica A: Statistical Mechanics and its Applications | 2005 | 5 Pages |
Abstract
One- and two-dimensional lattices of points are connected with long-range links, whose lengths are distributed according to P(r)â¼r-μ. By changing the decay exponent μ one can go from d-dimensional short-range networks to â-dimensional networks topologically similar to random graphs. An effective dimension dchem(μ) can be defined in terms of the shortest-path properties of these networks. These effective dimensions dchem are calculated here in one and two dimensions, for system sizes of up to 107 points.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Cristian F. Moukarzel,