Max cut for random graphs with a planted partition


We give an algorithm that, with high probability, recovers a planted k-partition in a random graph, where edges within vertex classes occur with probability p and edges between vertex classes occur with probability r ≥ p + c√plogn/n. The algorithm can handle vertex classes of different sizes and, for fixed k, runs in linear time. We also give variants of the algorithm for partitioning matrices and hypergraphs.

Publication Title

Combinatorics Probability and Computing