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A new lifting theorem for vertex packing

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Abstract

We present a new theorem to lift facets of the vertex packing problem. We prove the result and analyse its implications, showing that it generalizes a previous lifting theorem that was proved in 1983. The theorem is illustrated with some examples. Finally, we introduce two new families of facet-defining graphs that can be obtained as a consequence of this new lifting.

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Acknowledgements

Research supported by Spanish Ministerio de Economía y Competitividad, project MTM2015-65915-R, Ministerio de Educación, Cultura y Deporte, PhD Grant FPU15/05883, Fundación Séneca de la Consejería de Educación de la Comunidad Autónoma de la Región de Murcia, project 19320/PI/14 and Fundación BBVA, project FUNDBBVA/016/005.

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  1. Department of Statistics and Operational Research, University of Murcia, Murcia, Spain

    Alfredo Marín & Mercedes Pelegrín

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  1. Alfredo Marín
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  2. Mercedes Pelegrín
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Correspondence to Mercedes Pelegrín.

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Marín, A., Pelegrín, M. A new lifting theorem for vertex packing. Optim Lett 13, 1299–1312 (2019). https://doi.org/10.1007/s11590-018-1312-4

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