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Universal Behavior of Load Distribution in Scale-free Networks

K. -I. Goh·B. Kahng·D. Kim
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Abstract

We study a problem of data packet transport in scale-free networks whose degree distribution follows a power-law with the exponent $γ$. We define load at each vertex as the accumulated total number of data packets passing through that vertex when every pair of vertices send and receive a data packet along the shortest path connecting the pair. It is found that the load distribution follows a power-law with the exponent $δ\approx 2.2(1)$, insensitive to different values of $γ$ in the range, $2 < γ\le 3$, and different mean degrees, which is valid for both undirected and directed cases. Thus, we conjecture that the load exponent is a universal quantity to characterize scale-free networks.

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BibTeXRIS

K. -I. Goh, B. Kahng, D. Kim. 2001-11-01. Universal Behavior of Load Distribution in Scale-free Networks. https://doi.org/10.1103/physrevlett.87.278701

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