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arXiv · 0807.3373

Statistical Mechanics of Steiner trees

M. Bayati·C. Borgs·A. Braunstein·J. Chayes·A. Ramezanpour·R. Zecchina
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Abstract

The Minimum Weight Steiner Tree (MST) is an important combinatorial optimization problem over networks that has applications in a wide range of fields. Here we discuss a general technique to translate the imposed global connectivity constrain into many local ones that can be analyzed with cavity equation techniques. This approach leads to a new optimization algorithm for MST and allows to analyze the statistical mechanics properties of MST on random graphs of various types.

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M. Bayati, C. Borgs, A. Braunstein, J. Chayes, A. Ramezanpour, R. Zecchina. 2008-07-21. Statistical Mechanics of Steiner trees. https://doi.org/10.1103/physrevlett.101.037208

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