Spectral Partitioning in the Planted Partition Model
نویسنده
چکیده
The simplest model of this form is for the graph bisection problem. This is the problem of partitioning the vertices of a graph into two equal-sized sets while minimizing the number of edges bridging the sets. To create an instance of the planted bisection problem, we first choose a paritition of the vertices into equal-sized sets V 1 and V 2. When then choose probabilities p > q, and place edges between vertices with the following probabilities:
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