Open Access
2017 Phase transitions of extremal cuts for the configuration model
Souvik Dhara, Debankur Mukherjee, Subhabrata Sen
Electron. J. Probab. 22: 1-29 (2017). DOI: 10.1214/17-EJP109


The $k$-section width and the Max-Cut for the configuration model are shown to exhibit phase transitions according to the values of certain parameters of the asymptotic degree distribution. These transitions mirror those observed on Erdős-Rényi random graphs, established by Luczak and McDiarmid (2001), and Coppersmith et al. (2004), respectively.


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Souvik Dhara. Debankur Mukherjee. Subhabrata Sen. "Phase transitions of extremal cuts for the configuration model." Electron. J. Probab. 22 1 - 29, 2017.


Received: 16 November 2016; Accepted: 18 September 2017; Published: 2017
First available in Project Euclid: 14 October 2017

zbMATH: 1372.05198
MathSciNet: MR3733657
Digital Object Identifier: 10.1214/17-EJP109

Primary: 05C80 , 68Q87 , 68R10

Keywords: fixed degree sequence , Max-cut , Minimum bisection , phase transition

Vol.22 • 2017
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