Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Thursday, May 16, 2013, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Tillmann Miltzow (Freie Universität Berlin)

Counting Exchange Stable Matchings

(joint work with Balazs Keszegh and Andrei Asinowski) We are given two sets S,T with m and n elements respectively.(m much smaller n) Every member of S has a complete preference list over the members of T. An injective mapping from S to T is an exchange stable matching if there is no other matching, where at least one member s of S is assigned to a better 'partner' and no one is assigned to a worse 'partner'. We say a member t of T can be reached if there exists an exchange stable matching containing t. We show at most O( m log(m) ) many members of T can be reached. This bound is tight.

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