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2006
IEEE

A Local Switch Markov Chain on Given Degree Graphs with Application in Connectivity of Peer-to-Peer Networks

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A Local Switch Markov Chain on Given Degree Graphs with Application in Connectivity of Peer-to-Peer Networks
We study a switch Markov chain on regular graphs, where switches are allowed only between links that are at distance 3; we call this the Flip. The motivation for studying the Flip Markov chain arises in the context of unstructured peer-topeer networks, which constantly perform such flips in an effort to randomize. We show that the Flip Markov chain on regular graphs is rapidly mixing, thus justifying this widely used peer-to-peer networking practice. Our mixing argument uses the Markov chain comparison technique, however, we extend this technique to embedding arguments where the compared Markov chains are defined on different state spaces. We give several conditions which generalize our results beyond regular graphs.
Tomás Feder, Adam Guetz, Milena Mihail, Ami
Added 11 Jun 2010
Updated 11 Jun 2010
Type Conference
Year 2006
Where FOCS
Authors Tomás Feder, Adam Guetz, Milena Mihail, Amin Saberi
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