The Simulation of Stable Marriage and Stable Pairs

• Main Authors: Chih-yu Yen, 顏志瑜
• Other Authors: Jenn-hwa Yu
• Format: Others
• Language: zh-TW
• Published: 2010
• Online Access: http://ndltd.ncl.edu.tw/handle/65636163019193425402

碩士 === 國立中央大學 === 數學研究所 === 98 === In this paper we study the stable marriage and stable husbands problems of stable matching, using the concept of breakmarriage and p-cycle, and revisit the result of Knuth ,Motwani and, Pittel : any particular girl has at least max(0, (1/2−epsilon) ln n) and at most (1+epsilon) ln n different husbands, with probability approaching 1 as n → ∞, if 0 < epsilin < 1. We introduce two methods to find all stable matchings and simulate in C++ programming language to compare these two methods and theoretical results.