Abstract
This chapter is focused on the parity polytope, i.e., the convex hull of all 0-1 vectors with an even number of ones. A closely related polytope is the convex hull of all 0-1 vectors with an odd number of ones. We show two alternative compact extended formulations for both polytopes, one based on the union of polyhedra and the other one on LP. Whereas the former is a quadratic extension, the latter is only linear. This result seems to be new.
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Lancia, G., Serafini, P. (2018). The Parity Polytope. In: Compact Extended Linear Programming Models. EURO Advanced Tutorials on Operational Research. Springer, Cham. https://doi.org/10.1007/978-3-319-63976-5_8
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DOI: https://doi.org/10.1007/978-3-319-63976-5_8
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-63975-8
Online ISBN: 978-3-319-63976-5
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