Better and simpler approximation algorithms for the stable marriage problem

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5193 LNCS, Issue , 2008, Pages 623-634

  Király, Zoltán ^a  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

Approximation algorithms; Hospitals Residents problem; Stable matching

Indexed keywords

CLUSTERING ALGORITHMS; HOSPITALS;

APPROXIMATION FACTOR; APPROXIMATION RATIOS; LINEAR TIME; LINEAR-TIME ALGORITHMS; STABLE MARRIAGE PROBLEM; STABLE MATCHING;

APPROXIMATION ALGORITHMS;

EID: 57749173604     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-87744-8_52     Document Type: Conference Paper

References (8)

1. Gale, D., Shapley, L.S.: College admissions and the stability of marriage. Amer. Math. Monthly 69, 9-15 (1962)
2. Halldórsson, M.M., Irving, R.W., Iwama, K., Manlove, D.F., Miyazaki, S., Morita, Y., Scott, S.: Approximability results for stable marriage problems with ties. Theor. Comput. Sci. 306, 431-447 (2003)
3. Halldórsson, M.M., Iwama, K., Miyazaki, S., Yanagisawa, H.: Improved approximation results for the stable marriage problem. ACM Trans. Algorithms, Article 30 3(3) (2007)
4. Halldórsson, M.M., Iwama, K., Miyazaki, S., Yanagisawa, H.: Randomized approximation of the stable marriage problem. Theor. Comput. Sci. 325, 439-465 (2004)
5. Irving, R.W., Manlove, D.F.: Approximation algorithms for hard variants of the stable marriage and hospitals/residents problems. Journal of Combinatorial Optimization (2007), doi:10.1007/s10878-007-9133-x
6. Iwama, K., Manlove, D.F., Miyazaki, S., Morita, Y.: Stable marriage with incomplete lists and ties. In: Wiedermann, J., Van Emde Boas, P., Nielsen, M. (eds.) ICALP 1999. LNCS, vol. 1644, pp. 443-452. Springer, Heidelberg (1999)
7. Iwama, K., Miyazaki, S., Yamauchi, N.: A 1.875-approximation algorithm for the stable marriage problem. In: SODA 2007: Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms, pp. 288-297 (2007)
8. Manlove, D.F., Irving, R.W., Iwama, K., Miyazaki, S., Morita, Y.: Hard variants of stable marriage. Theor. Comput. Sci. 276, 261-279 (2002)