Approximate Counting of Graphical Realizations.

In 1999 Kannan, Tetali and Vempala proposed a MCMC method to uniformly sample all possible realizations of a given graphical degree sequence and conjectured its rapidly mixing nature. Recently their conjecture was proved affirmative for regular graphs (by Cooper, Dyer and Greenhill, 2007), for regul...

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Bibliographic Details
Main Authors: Péter L Erdős, Sándor Z Kiss, István Miklós, Lajos Soukup
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2015-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC4498913?pdf=render