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arXiv · 1611.03075

Phase transitions of extremal cuts for the configuration model

Souvik Dhara·Debankur Mukherjee·Subhabrata Sen
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Abstract

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. 2017-10-16. Phase transitions of extremal cuts for the configuration model. https://doi.org/10.1214/17-ejp109

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