The Minimum Bisection in the Planted Bisection Model

A. Coja-Oghlan,Oliver Cooley,Mihyun Kang,Kathrin Skubch

Published 2015 in Theory of Computing

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 plus or minus 1). 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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