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

نویسندگان

  • Mohsen Bayati
  • Alfredo Braunstein
  • Riccardo Zecchina
چکیده

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. 1 Microsoft Research, One Microsoft Way, 98052 Redmond, WA 2 Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy

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عنوان ژورنال:
  • CoRR

دوره abs/0901.1684  شماره 

صفحات  -

تاریخ انتشار 2008