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 Title: Power Laws and Network Topologies Author(s): Han, Xi Contributor(s): Srikant, R. Subject(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. Issue Date: 2012-05 Genre: Other Type: Text Language: English URI: http://hdl.handle.net/2142/46490 Publication Status: unpublished Peer Reviewed: not peer reviewed Date Available in IDEALS: 2014-01-09
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