The switch Markov chain for sampling irregular graphs and digraphs

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The switch Markov chain for sampling irregular graphs and digraphs

The problem of efficiently sampling from a set of (undirected, or directed) graphs with a given degree sequence has many applications. One approach to this problem uses a simple Markov chain, which we call the switch chain, to perform the sampling. The switch chain is known to be rapidly mixing for regular degree sequences, both in the undirected and directed setting. We prove that the switch c...

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The problem of efficiently sampling from a set of (undirected) graphs with a given degree sequence has many applications. One approach to this problem uses a simple Markov chain, which we call the switch chain, to perform the sampling. The switch chain is known to be rapidly mixing for regular degree sequences. We prove that the switch chain is rapidly mixing for any degree sequence with minimu...

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The switch Markov chain for sampling irregular graphs (Extended Abstract)

The problem of efficiently sampling from a set of (undirected) graphs with a given degree sequence has many applications. One approach to this problem uses a simple Markov chain, which we call the switch chain, to perform the sampling. The switch chain is known to be rapidly mixing for regular degree sequences. We prove that the switch chain is rapidly mixing for any degree sequence with minimu...

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2018

ISSN: 0304-3975

DOI: 10.1016/j.tcs.2017.11.010