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arxiv: 1611.03075 · v2 · submitted 2016-11-09 · 🧮 math.CO · cs.DM· math.PR

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Phase transitions of extremal cuts for the configuration model

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classification 🧮 math.CO cs.DMmath.PR
keywords transitionsconfigurationmodelphaseaccordingasymptoticcertaincoppersmith
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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 Erd\H{o}s-R\'enyi random graphs, established by Luczak and McDiarmid (2001), and Coppersmith et al. (2004), respectively.

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