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Largest minimally inversion-complete and pair-complete sets of permutations

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  • Balandraud, Eric

    (Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie)

  • Queyranne, Maurice

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Center for Operations Research and Econometrics (CORE))

  • Tardella, Fabio

    (Dipartimento MEMOTEF, Sapienza University of Rome)

Abstract

We solve two related extremal problems in the theory of permutations. A set Q of permutations of the integers 1 to n is inversion-complete (resp., pair-complete) if for every inversion (j, i), where 1

Suggested Citation

  • Balandraud, Eric & Queyranne, Maurice & Tardella, Fabio, 2015. "Largest minimally inversion-complete and pair-complete sets of permutations," LIDAM Discussion Papers CORE 2015009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:2015009
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    References listed on IDEAS

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    7. Hindriks, Jean & Lamy, Guillaume, 2014. "Back to school, back to segregation?," LIDAM Discussion Papers CORE 2014066, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Hindriks, Jean & Nishimura, Yukihiro, 2014. "On the timing of tax and investment in fiscal competition models," LIDAM Discussion Papers CORE 2014065, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Fleurbaey, Marc & Maniquet, François, 2015. "Optimal taxation theory and principles of fairness," LIDAM Discussion Papers CORE 2015005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. NESTEROV, Yurii, 2015. "Complexity bounds for primal-dual methods minimizing the model of objective function," LIDAM Discussion Papers CORE 2015003, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Jean Hindriks & Yukihiro Nishimura, 2017. "Equilibrium leadership in tax competition models with capital ownership: a rejoinder," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 24(2), pages 338-349, April.
    2. Vrins, F. & Jeanblanc, M., 2015. "The [phi]-Martingale," LIDAM Discussion Papers CORE 2015022, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

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