Abstract
We study a problem of data packet transport in scale-free networks whose degree distribution follows a power law with the exponent γ. Load, or “betweenness centrality,” of a vertex is the accumulated total number of data packets passing through that vertex when every pair of vertices sends and receives 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≈2.2(1), insensitive to different values of γ in the range, 2 < ≤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.
Original language | English |
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Pages (from-to) | 278701-278701-4 |
Journal | Physical review letters |
Volume | 87 |
Issue number | 27 |
DOIs | |
Publication status | Published - 2001 Dec 31 |
Externally published | Yes |
ASJC Scopus subject areas
- Physics and Astronomy(all)