Semidefinite and Lagrangian relaxations for hard combinatorial problems (Q2712834)

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Semidefinite and Lagrangian relaxations for hard combinatorial problems
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    30 November 2002
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    semi-definite relaxations
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    combinatorial optimization
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    Semidefinite and Lagrangian relaxations for hard combinatorial problems (English)
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    This paper presents a recipe and some examples of how to find good semi-definite relaxations for combinatorial optimization problems. The main idea is to look at Lagrangian relaxations of a constrained quadratic formulation of the combinatorial optimization problem. More importantly, the paper argues by example that Lagrangian relaxation yields in some sense the best possible bounds for many problems.NEWLINENEWLINEFor the entire collection see [Zbl 0946.00028].
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