A rigorous analysis of the cavity equations for the minimum spanning tree

Details A rigorous analysis of the cavity equations for the minimum spanning tree A rigorous analysis of the cavity equations for the minimum spanning tree

2009-01-12

arxiv.org/abs/0901.1684v1

J. Math. Phys. 49, 125206 (2008)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 1 figure

Scientific paper

10.1063/1.2982805

We analyze a new general representation for the Minimum Weight Steiner Tree (MST) problem which translates the topological connectivity constraint into a set of local conditions which can be analyzed by the so called cavity equations techniques. For the limit case of the Spanning tree we prove that the fixed point of the algorithm arising from the cavity equations leads to the global optimum.

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