Combinatorial approach to the interpolation method and scaling limits in sparse random graphs

We establish the existence of free energy limits for several sparse random hypergraph models corresponding to certain combinatorial models on Erd¨os-R´enyi graph G(N, c/N) and random r-regular graph G(N, r). For a variety of models, including independent sets, MAX-CUT, Coloring and K-SAT, we pr...

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Bibliographic Details
Main Authors: Bayati, Mohsen, Gamarnik, David, Tetali, Prasad
Other Authors: Sloan School of Management
Format: Article
Language:en_US
Published: Association for Computing Machinery 2011
Online Access:http://hdl.handle.net/1721.1/65914
https://orcid.org/0000-0001-8898-8778