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The Boolean Quadric Polytope

In: The Quadratic Unconstrained Binary Optimization Problem

Author

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  • Adam N. Letchford

    (Lancaster University)

Abstract

When developing an exact algorithm for a combinatorial optimisation problem, it often helps to have a good understanding of certain polyhedra associated with that problem. In the case of quadratic unconstrained Boolean optimisation, the polyhedron in question is called the Boolean quadric polytope. This chapter gives a brief introduction to polyhedral theory, reviews the literature on the Boolean quadric polytope and related polyhedra, and explains the algorithmic implications.

Suggested Citation

  • Adam N. Letchford, 2022. "The Boolean Quadric Polytope," Springer Books, in: Abraham P. Punnen (ed.), The Quadratic Unconstrained Binary Optimization Problem, chapter 0, pages 97-120, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-04520-2_4
    DOI: 10.1007/978-3-031-04520-2_4
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