By J. Van Lint, G. Van Der Geer, Jacobus Hendricus Van Lint, Jacobus H. Van Lint, Gerard Van Der Geer

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version five Jun 2009

Additional resources for Introduction to Coding Theory and Algebraic Geometry

Example text

261]). Clearly, in the case that wt(mi , wj ) = rank(mi , wj ) and wt(wj , mi ) = rank(wj , mi ) for each acceptable pair {mi , wj }, a minimum weight stable matching is an egalitarian stable matching. 2 Preliminary definitions, results and motivation Key results (up to 1989) Clearly the key results mentioned in Sec. 3 apply to smi (and hence sm), since smi is a special case of hr. Here we state some additional results for smi that do not follow from those in Sec. 3. 14. Let I be an instance of smi of size n, where m is the number of acceptable pairs.

Algorithm add (method for Algorithm RVV) [516] . Algorithm satisfy (method for Algorithm RVV) [516] Algorithm ROM . . . . . . . . . . Algorithm Kir´aly . . . . . . . . . . Algorithm reject (method for Algorithm Kir´aly) . . Algorithm HRT-Strong-Res . . . . . . . Algorithm HRT-Super-Res . . . . . . . . Algorithm Tan–Hsueh . . . . . . . . . Algorithm K-BP-SR . . . . . . . . . Algorithm spa-s-student . . . . . . . . Algorithm Bistable . .

This gave a deep insight into the underlying structure of the set of stable matchings in instances of sm, hr and sr, and showed how this structure plays a vital role in the derivation of efficient algorithms for problems such as generating all stable matchings, and finding stable matchings with additional useful properties. The Encyclopedia of Algorithms [357], published in 2008, included a range of entries relating to matching problems [120, 314, 315, 333, 361, 416, February 21, 2013 15:47 8 BC: 8591 - Algorithmics of matching - 2nd Reading Preliminary definitions, results and motivation 450, 555].

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