| Issue |
Europhys. Lett.
Volume 73, Number 3, February 2006
|
|
|---|---|---|
| Page(s) | 471 - 477 | |
| Section | Interdisciplinary physics and related areas of science and technology | |
| DOI | https://doi.org/10.1209/epl/i2005-10407-5 | |
| Published online | 23 December 2005 | |
Maximum flow and topological structure of complex networks
Theoretische Physik, Universität des Saarlandes - 66041 Saarbrücken, Germany
Received:
22
August
2005
Accepted:
2
December
2005
The problem of sending the maximum amount of flow q between two
arbitrary nodes s and t of complex networks along links with unit
capacity is studied, which is equivalent to determining the number of
link-disjoint paths between s and t. The average of q over all
node pairs with smaller degree 
is 
for large
with c a constant implying that the statistics of q is related to
the degree distribution of the network. The disjoint paths between
hub nodes are found to be distributed among the links belonging to
the same edge-biconnected component, and q can be estimated by the number of pairs of
edge-biconnected links incident to the start and terminal node. The
relative size of the giant edge-biconnected component of a network
approximates to the coefficient c. The applicability of
our results to real-world networks is
tested for the Internet at the autonomous system level.
PACS: 89.70.+c – Information theory and communication theory / 89.75.Fb – Structures and organization in complex systems / 02.60.Pn – Numerical optimization
© EDP Sciences, 2006
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