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https://hdl.handle.net/2142/46490
Description
Title
Power Laws and Network Topologies
Author(s)
Han, Xi
Contributor(s)
Srikant, R.
Issue Date
2012-05
Keyword(s)
network theory
network topology
power law
network modeling
Abstract
In this thesis, we study and characterize the network topology at the router level and autonomous system (AS) level. First, we showed why power law distributions may arise in practice by modeling the growth of network parameters using a certain first-order stochastic differential equation. The steady-state of this differential equation exhibits power law behavior. Then, we introduce the preferential attachment model, which is used to explain the observed power law degree distribution in real-world networks. Finally, we use historical data from real networks to show that the degree distribution can be described effectively with power laws or slowly decreasing tails.
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