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Paper detail

Belief propagation for graph partitioning

We study the belief propagation algorithm for the graph bi-partitioning problem, i.e. the ground state of the ferromagnetic Ising model at a fixed magnetization. Application of a message passing scheme to a model with a fixed global parameter is not banal and we show that the magnetization can in fact be fixed in a local way within the belief propagation equations. Our method provides the full phase diagram of the bi-partitioning problem on random graphs, as well as an efficient heuristic solver that we anticipate to be useful in a wide range of application of the partitioning problem.

preprint2009arXivOpen access
P. SulcL. Zdeborova
cond-mat.stat-mechData Structures and AlgorithmsDiscrete Mathematicscond-mat.dis-nn
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P. SulcL. Zdeborova

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