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Volumn 16, Issue 3, 2008, Pages 279-292

Approximation algorithms for hard variants of the stable marriage and hospitals/residents problems

Author keywords

Approximation algorithms; NP hard problems; Stable matching; Weak stability

Indexed keywords

NUCLEAR PROPULSION; POLYNOMIAL APPROXIMATION;

EID: 49749151458     PISSN: 13826905     EISSN: 15732886     Source Type: Journal    
DOI: 10.1007/s10878-007-9133-x     Document Type: Article
Times cited : (34)

References (24)
  • 1
    • 49749095298 scopus 로고    scopus 로고
    • Canadian Resident Matching Service website http://www.carms.ca/
  • 2
    • 84981550710 scopus 로고    scopus 로고
    • On a generalization of the stable roommates problem
    • 1
    • Cechlárová K, Fleiner T (2005) On a generalization of the stable roommates problem. ACM Trans Algorithms 1(1):143-156
    • (2005) ACM Trans Algorithms , vol.1 , pp. 143-156
    • Cechlárová, K.1    Fleiner, T.2
  • 3
  • 4
    • 0003165311 scopus 로고
    • College admissions and the stability of marriage
    • Gale D, Shapley LS (1962) College admissions and the stability of marriage. Am Math Mon 69:9-15
    • (1962) Am Math Mon , vol.69 , pp. 9-15
    • Gale, D.1    Shapley, L.S.2
  • 5
    • 0022092663 scopus 로고
    • Some remarks on the stable matching problem
    • Gale D, Sotomayor M (1985) Some remarks on the stable matching problem. Discrete Appl Math 11:223-232
    • (1985) Discrete Appl Math , vol.11 , pp. 223-232
    • Gale, D.1    Sotomayor, M.2
  • 8
    • 0142183800 scopus 로고    scopus 로고
    • Improved approximation of the stable marriage problem
    • Proceedings of ESA 2003: the eleventh European symposium on algorithms Springer Berlin
    • Halldórsson M, Iwama K, Miyazaki S, Yanagisawa H (2003b) Improved approximation of the stable marriage problem. In: Proceedings of ESA 2003: the eleventh European symposium on algorithms. Lecture notes in computer science, vol 2832. Springer, Berlin, pp 266-277
    • (2003) Lecture Notes in Computer Science , vol.2832 , pp. 266-277
    • Halldórsson, M.1    Iwama, K.2    Miyazaki, S.3    Yanagisawa, H.4
  • 10
    • 0001009871 scopus 로고
    • 5/2 algorithm for maximum matchings in bipartite graphs
    • 5/2 algorithm for maximum matchings in bipartite graphs. SIAM J Comput 2:225-231
    • (1973) SIAM J Comput , vol.2 , pp. 225-231
    • Hopcroft, J.E.1    Karp, R.M.2
  • 11
    • 38149148462 scopus 로고
    • Stable marriage and indifference
    • Irving RW (1994) Stable marriage and indifference. Discrete Appl Math 48:261-272
    • (1994) Discrete Appl Math , vol.48 , pp. 261-272
    • Irving, R.W.1
  • 12
    • 84896778569 scopus 로고    scopus 로고
    • Matching medical students to pairs of hospitals: A new variation on a well-known theme
    • Proceedings of ESA '98: the sixth European symposium on algorithms Springer Berlin
    • Irving RW (1998) Matching medical students to pairs of hospitals: a new variation on a well-known theme. In: Proceedings of ESA '98: the sixth European symposium on algorithms. Lecture notes in computer science, vol 1461. Springer, Berlin, pp 381-392
    • (1998) Lecture Notes in Computer Science , vol.1461 , pp. 381-392
    • Irving, R.W.1
  • 13
    • 0022766622 scopus 로고
    • The complexity of counting stable marriages
    • 3
    • Irving RW, Leather P (1986) The complexity of counting stable marriages. SIAM J Comput 15(3):655-667
    • (1986) SIAM J Comput , vol.15 , pp. 655-667
    • Irving, R.W.1    Leather, P.2
  • 14
    • 37849007190 scopus 로고    scopus 로고
    • An 8/5 approximation algorithm for a hard variant of stable marriage
    • Proceedings of COCOON 2007, 13th annual international computing and combinatorics conference, Banff, Canada Springer Berlin
    • Irving RW, Manlove DF (2007) An 8/5 approximation algorithm for a hard variant of stable marriage. In: Proceedings of COCOON 2007, 13th annual international computing and combinatorics conference, Banff, Canada. Lecture notes in computer science, vol 4598. Springer, Berlin, pp 548-558
    • (2007) Lecture Notes in Computer Science , vol.4598 , pp. 548-558
    • Irving, R.W.1    Manlove, D.F.2
  • 15
    • 84956869818 scopus 로고    scopus 로고
    • The hospitals/residents problem with ties
    • Proceedings of SWAT 2000: the 7th Scandinavian workshop on algorithm theory Springer Berlin
    • Irving RW, Manlove DF, Scott S (2000) The hospitals/residents problem with ties. In: Proceedings of SWAT 2000: the 7th Scandinavian workshop on algorithm theory. Lecture notes in computer science, vol 1851. Springer, Berlin, pp 259-271
    • (2000) Lecture Notes in Computer Science , vol.1851 , pp. 259-271
    • Irving, R.W.1    Manlove, D.F.2    Scott, S.3
  • 16
    • 35248825105 scopus 로고    scopus 로고
    • Strong stability in the hospitals/residents problem
    • Proceedings of STACS 2003: the 20th annual symposium on theoretical aspects of computer science Springer Berlin
    • Irving RW, Manlove DF, Scott S (2003) Strong stability in the hospitals/residents problem. In: Proceedings of STACS 2003: the 20th annual symposium on theoretical aspects of computer science. Lecture notes in computer science, vol 2607. Springer, Berlin, pp 439-450
    • (2003) Lecture Notes in Computer Science , vol.2607 , pp. 439-450
    • Irving, R.W.1    Manlove, D.F.2    Scott, S.3
  • 17
    • 35048874842 scopus 로고    scopus 로고
    • A (2-c log n/n)-approximation algorithm for the stable marriage problem
    • Proceedings of SWAT 2004: the 9th Scandinavian workshop on algorithm theory Springer Berlin
    • Iwama K, Miyazaki S, Okamoto K (2004) A A (2-c log n/n)-approximation algorithm for the stable marriage problem. In: Proceedings of SWAT 2004: the 9th Scandinavian workshop on algorithm theory. Lecture notes in computer science, vol 3111. Springer, Berlin, pp 349-361
    • (2004) Lecture Notes in Computer Science , vol.3111 , pp. 349-361
    • Iwama, K.1    Miyazaki, S.2    Okamoto, K.3
  • 18
    • 33744950524 scopus 로고    scopus 로고
    • A (2-c 1/√n)-approximation algorithm for the stable marriage problem
    • Proceedings of ISAAC 2005: the sixteenth international symposium on algorithms and computation Springer Berlin
    • Iwama K, Miyazaki S, Yamauchi N (2005) A A (2-c 1/√n)-approximation algorithm for the stable marriage problem. In: Proceedings of ISAAC 2005: the sixteenth international symposium on algorithms and computation. Lecture notes in computer science, vol 3827. Springer, Berlin, pp 902-914
    • (2005) Lecture Notes in Computer Science , vol.3827 , pp. 902-914
    • Iwama, K.1    Miyazaki, S.2    Yamauchi, N.3
  • 21
    • 49749143201 scopus 로고    scopus 로고
    • National Resident Matching Program website http://www.nrmp.org/ about_nrmp/how.html
  • 22
    • 84936379779 scopus 로고
    • The evolution of the labor market for medical interns and residents: A case study in game theory
    • 6
    • Roth AE (1984) The evolution of the labor market for medical interns and residents: a case study in game theory. J Political Econ 92(6):991-1016
    • (1984) J Political Econ , vol.92 , pp. 991-1016
    • Roth, A.E.1
  • 23
    • 0003335830 scopus 로고
    • Two-sided matching: A study in game-theoretic modeling and analysis
    • Cambridge University Press Cambridge
    • Roth AE, Sotomayor MAO (1990) Two-sided matching: a study in game-theoretic modeling and analysis. Econometric society monographs, vol 18. Cambridge University Press, Cambridge
    • (1990) Econometric Society Monographs , vol.18
    • Roth, A.E.1    Sotomayor, M.A.O.2
  • 24
    • 49749095839 scopus 로고    scopus 로고
    • Scottish Foundation Allocation Scheme website http://www.nes.scot.nhs.uk/ sfas/


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.