Francesca RossI

  1. Stable marriage problems with quantitative preferences.

    Authors: Toby Walsh, Maria Silvia Pini, Francesca RossI, Brent Venable
    Subjects: Artificial Intelligence
    Abstract

    The stable marriage problem is a well-known problem of matching men to women
    so that no man and woman, who are not married to each other, both prefer each
    other. Such a problem has a wide variety of practical applications, ranging
    from matching resident doctors to hospitals, to matching students to schools or
    more generally to any two-sided market. In the classical stable marriage
    problem, both men and women express a strict preference order over the members
    of the other sex, in a qualitative way.

  2. Local search for stable marriage problems with ties and incomplete lists.

    Authors: Toby Walsh, Mirco Gelain, Maria Silvia Pini, Francesca RossI, Kristen Brent Venable
    Subjects: General Literature
    Abstract

    The stable marriage problem has a wide variety of practical applications,
    ranging from matching resident doctors to hospitals, to matching students to
    schools, or more generally to any two-sided market. We consider a useful
    variation of the stable marriage problem, where the men and women express their
    preferences using a preference list with ties over a subset of the members of
    the other sex. Matchings are permitted only with people who appear in these
    preference lists. In this setting, we study the problem of finding a stable
    matching that marries as many people as possible.

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