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Content Provider | IEEE Xplore Digital Library |
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Author | Huijuan Wang Van Mieghem, P. |
Copyright Year | 2007 |
Description | Author affiliation: Delft Univ. of Technol., Delft (Huijuan Wang; Van Mieghem, P.) |
Abstract | When transport in networks follows the shortest paths, the union of all shortest path trees $G_{cupspt}$ can be regarded as the "transport overlay network". Overlay networks such as peer-to-peer networks or virtual private networks can be considered as a subgraph of $G_{cupspt}.$ We construct two types of $G_{cupspt}:$ (a) $G_{cupspt(alpha)}$ where alpha is the extreme value index of polynomial link weights and (b) $G_{cupspt(rho)}$ where rho is the correlation coefficient of the 2-dimensional correlated uniformly distributed link weights in QoS routing. By tuning the extreme value index alpha of polynomial link weights, a phase transition occurs around a critical extreme value index ac of the link weight distribution. If alpha > $alpha_{c},$ transport in the network traverses many links whereas for alpha < $alpha_{c},$ all transport flows over a critical backbone: the minimum spanning tree (MST). In QoS routing with 2-dimensional link weights, as we decrease the correlation coefficient rho from 1 to -1, the overlay GUSpt becomes denser, and is equal to the substrate when rho = -1. With the Erdos-Renyi random graph as the underlying topology, we show that the overlay $G_{cupspt(rho)}$ is also close to an Erdos-Renyi random graph $G_{p}$ (N), an observation with potential for mobile and wireless ad-hoc networks. The existence of such a controllable transition in the overlay structure may allow network operators to steer and balance flows in their network. |
Starting Page | 139 |
Ending Page | 143 |
File Size | 2201449 |
Page Count | 5 |
File Format | |
ISBN | 9781424410088 |
DOI | 10.1109/CHINACOM.2007.4469347 |
Language | English |
Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Publisher Date | 2007-08-22 |
Publisher Place | China |
Access Restriction | Subscribed |
Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subject Keyword | Network topology Tree graphs Peer to peer computing Spine Telecommunication traffic Routing Polynomials Ad hoc networks Virtual private networks IP networks |
Content Type | Text |
Resource Type | Article |
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