Eduardo López

Los Alamos National Laboratory, Los Alamos, CA, United States

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Publications (1)3.67 Total impact

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    ABSTRACT: We study the effects of relaxational dynamics on congestion pressure in scale free networks by analyzing the properties of the corresponding gradient networks (Z. Toroczkai, K. E. Bassler, Nature {\bf 428}, 716 (2004)). Using the Family model (F. Family, J. Phys. A, {\bf 19}, L441 (1986)) from surface-growth physics as single-step load-balancing dynamics, we show that the congestion pressure considerably drops on scale-free networks when compared with the same dynamics on random graphs. This is due to a structural transition of the corresponding gradient network clusters, which self-organize such as to reduce the congestion pressure. This reduction is enhanced when lowering the value of the connectivity exponent $\lambda$ towards 2.
    New Journal of Physics 04/2008; 10(9). DOI:10.1088/1367-2630/10/9/093007 · 3.67 Impact Factor