On the max-cut of sparse random graphs

We consider the problem of estimating the size of a maximum cut (Max-Cut problem) in a random Erdős-Rényi graph on n nodes and ⌊cn⌋ edges. It is shown in Coppersmith et al. that the size of the maximum cut in this graph normalized by the number of nodes belongs to the asymptotic region [c/2 + 0.376...

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Bibliographic Details
Main Authors: Gamarnik, David, Li, Quan
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Published: Wiley 2019
Online Access:http://hdl.handle.net/1721.1/120495
https://orcid.org/0000-0001-8898-8778
https://orcid.org/0000-0002-3726-1517