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arXiv · 1505.02985

The minimum bisection in the planted bisection model

Amin Coja-Oghlan·Oliver Cooley·Mihyun Kang·Kathrin Skubch
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Abstract

In the planted bisection model a random graph $G(n,p_+,p_- )$ with $n$ vertices is created by partitioning the vertices randomly into two classes of equal size (up to $\pm1$). Any two vertices that belong to the same class are linked by an edge with probability $p_+$ and any two that belong to different classes with probability $p_- c\sqrt{d_+ \ln d_+ }$ for a certain constant $c>0$.

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Amin Coja-Oghlan, Oliver Cooley, Mihyun Kang, Kathrin Skubch. 2015-05-12. The minimum bisection in the planted bisection model. https://doi.org/10.4230/lipics.approx-random.2015.710

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