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Keyword: integer linear programming ×Clear all

1 claim from 1 paper

1. Computer Science › Complexity and Algorithms in Graphs

   Belief Propagation for Weighted b-Matchings on Arbitrary Graphs and its Relation to Linear Programs with Integer Solutions

   Bayati, Borgs, Chayes and Zecchina · SIAM Journal on Discrete Mathematics · 2011

   The paper proves belief propagation solves minimum weight b-matching on arbitrary graphs when its LP relaxation has no fractional solutions, and can solve the relaxation otherwise.

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   1. UncheckedFor minimum weight b-matching, if the linear programming relaxation has no fractional solutions, belief propagation converges to the correct answer.“We prove that, whenever the linear programming (LP) relaxation of the problem has no fractional solutions, then the belief propagation (BP) algorithm converges to the correct solution.”