Unpopularity Factor in the Marriage and Roommates Problems

03/26/2018

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by   Suthee Ruangwises, et al.

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We develop an algorithm to compute an unpopularity factor of a given matching in the Roommate Problem (RP) and Marriage Problem (MP). The algorithm runs in O(m√(n)^2 n) time for RP and in O(m√(n) n) time for MP.