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Volumn , Issue , 2008, Pages 131-136

A survey of the stable marriage problem and its variants

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SCIENCE; DECISION MAKING; TECHNOLOGY;

EID: 50149120106     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICKS.2008.7     Document Type: Conference Paper
Times cited : (151)

References (61)
  • 2
    • 33745595100 scopus 로고    scopus 로고
    • Almost stable matchings in the roommates problem
    • Proc. WAOA 2005
    • D. J. Abraham, P. Biró, D. F. Manlove, " "Almost stable" matchings in the roommates problem," Proc. WAOA 2005, LNCS 3879, pp. 1-14, 2005.
    • (2005) LNCS , vol.3879 , pp. 1-14
    • Abraham, D.J.1    Biró, P.2    Manlove, D.F.3
  • 3
    • 34548246338 scopus 로고    scopus 로고
    • The student-project allocation problem
    • Proc. ISAAC 2003
    • D. J. Abraham, R. W. Irving and D. F. Manlove, "The student-project allocation problem," Proc. ISAAC 2003, LNCS 2906, pp. 474-484, 2003.
    • (2003) LNCS , vol.2906 , pp. 474-484
    • Abraham, D.J.1    Irving, R.W.2    Manlove, D.F.3
  • 5
    • 0002054924 scopus 로고    scopus 로고
    • Many-to-many matching: Stable polyandrous polygamy (or polygamous polyandry)
    • M. Baiou and M. Balinski, "Many-to-many matching: stable polyandrous polygamy (or polygamous polyandry)," Discrete Applied Mathematics, Vol. 101, pp. 1-12, 2000.
    • (2000) Discrete Applied Mathematics , vol.101 , pp. 1-12
    • Baiou, M.1    Balinski, M.2
  • 6
    • 35248885105 scopus 로고    scopus 로고
    • Stable marriages with multiple partners: Efficient search for an optimal solution
    • Proc. ICALP 2003
    • V. Bansal, A. Agrawal and V. S. Malhotra, "Stable marriages with multiple partners: efficient search for an optimal solution," Proc. ICALP 2003, LNCS 2719, pp. 527-542, 2003.
    • (2003) LNCS , vol.2719 , pp. 527-542
    • Bansal, V.1    Agrawal, A.2    Malhotra, V.S.3
  • 8
    • 10444285352 scopus 로고    scopus 로고
    • Stable matchings in three-sided systems with cyclic preferences
    • E. Boros, V. Gurvich, S. Jastar, and D. Krasner, "Stable matchings in three-sided systems with cyclic preferences," Discrete Mathematics, Vol. 289, pp. 1-10, 2004.
    • (2004) Discrete Mathematics , vol.289 , pp. 1-10
    • Boros, E.1    Gurvich, V.2    Jastar, S.3    Krasner, D.4
  • 9
    • 50149119552 scopus 로고    scopus 로고
    • Canadian Resident Matching Service
    • Canadian Resident Matching Service, http://www.carms.ca/
  • 10
    • 31244436056 scopus 로고    scopus 로고
    • On the complexity of exchange-stable roommates
    • K. Cechlárová, "On the complexity of exchange-stable roommates," Discrete Applied Mathematics, Vol. 116, pp. 279-287, 2002.
    • (2002) Discrete Applied Mathematics , vol.116 , pp. 279-287
    • Cechlárová, K.1
  • 11
    • 50149109281 scopus 로고    scopus 로고
    • Irvine Compiler Corporation
    • technical Report, ICC TR1999-2
    • D. Eilers, Irvine Compiler Corporation "[technical Report, ICC TR1999-2, 1999.
    • (1999)
    • Eilers, D.1
  • 13
    • 0003165311 scopus 로고
    • College admissions and the stability of marriage
    • D. Gale and L. S. Shapley, "College admissions and the stability of marriage," Amer. Math. Monthly, Vol.69, pp. 9-15, 1962.
    • (1962) Amer. Math. Monthly , vol.69 , pp. 9-15
    • Gale, D.1    Shapley, L.S.2
  • 14
    • 0022092663 scopus 로고
    • Some remarks on the stable matching problem
    • D. Gale and M. Sotomayor, "Some remarks on the stable matching problem," Discrete Applied Mathematics, Vol.11, pp. 223-232, 1985.
    • (1985) Discrete Applied Mathematics , vol.11 , pp. 223-232
    • Gale, D.1    Sotomayor, M.2
  • 15
    • 0023288575 scopus 로고
    • Three fast algorithms for four problems in stable marriage
    • D. Gusfield, "Three fast algorithms for four problems in stable marriage," SIAM J. Comput., Vol. 16, Issue 1, pp. 111-128, 1987.
    • (1987) SIAM J. Comput , vol.16 , Issue.1 , pp. 111-128
    • Gusfield, D.1
  • 20
    • 38049075983 scopus 로고    scopus 로고
    • Two's company, three's a crowd: Stable family and threesome roommates problems
    • Proc. ESA 2007
    • C. C. Haung, "Two's company, three's a crowd: stable family and threesome roommates problems," Proc. ESA 2007, LNCS 4698, pp. 558-569, 2007.
    • (2007) LNCS , vol.4698 , pp. 558-569
    • Haung, C.C.1
  • 21
    • 0039468436 scopus 로고
    • An efficient algorithm for the "stable roommates" problem
    • R. W. Irving, "An efficient algorithm for the "stable roommates" problem," J. Algorithms, Vol. 6, No. 4, pp. 577-595, 1985.
    • (1985) J. Algorithms , vol.6 , Issue.4 , pp. 577-595
    • Irving, R.W.1
  • 22
    • 38149148462 scopus 로고
    • Stable marriage and indifference
    • R. W. Irving, "Stable marriage and indifference," Discrete Applied Mathematics, Vol.48, pp. 261-272, 1994.
    • (1994) Discrete Applied Mathematics , vol.48 , pp. 261-272
    • Irving, R.W.1
  • 23
    • 25544439847 scopus 로고    scopus 로고
    • University of Glasgow, Computing Science Department Research Report, TR-2003-136
    • R. W. Irving, "Greedy matchings," University of Glasgow, Computing Science Department Research Report, TR-2003-136, 2003.
    • (2003) Greedy matchings
    • Irving, R.W.1
  • 24
    • 26444588236 scopus 로고    scopus 로고
    • University of Glasgow, Computing Science Department Research Report, TR-2004-177
    • R. W. Irving, "Man-exchange stable marriage," University of Glasgow, Computing Science Department Research Report, TR-2004-177, 2004.
    • (2004) Man-exchange stable marriage
    • Irving, R.W.1
  • 25
    • 34247122398 scopus 로고    scopus 로고
    • The cycle roommates problem: A hard case of kidney exchange
    • R. W. Irving, "The cycle roommates problem: a hard case of kidney exchange," Information Processing Letters, Vol. 103, Issue 1, pp. 1-4, 2007.
    • (2007) Information Processing Letters , vol.103 , Issue.1 , pp. 1-4
    • Irving, R.W.1
  • 27
    • 0022766622 scopus 로고    scopus 로고
    • R. W. Irving and P. Leather, The complexity of counting stable marriages, SIAM J. Comput., 15, pp. 655-667, 1986.
    • R. W. Irving and P. Leather, "The complexity of counting stable marriages," SIAM J. Comput., Vol.15, pp. 655-667, 1986.
  • 28
    • 0023382768 scopus 로고    scopus 로고
    • R. W. Irving, P. Leather and D. Gusfield, An efficient algorithm for the optimal stable marriage, Journal of the ACM, 34, pp. 532-543, 1987.
    • R. W. Irving, P. Leather and D. Gusfield, "An efficient algorithm for the "optimal" stable marriage," Journal of the ACM, Vol. 34, pp. 532-543, 1987.
  • 29
    • 0036557486 scopus 로고    scopus 로고
    • The stable roommates problem with ties
    • R. W. Irving and D. F. Manlove, "The stable roommates problem with ties," J. Algorithms, Vol. 43, No. 1, pp. 85-105, 2002.
    • (2002) J. Algorithms , vol.43 , Issue.1 , pp. 85-105
    • Irving, R.W.1    Manlove, D.F.2
  • 30
    • 37849007190 scopus 로고    scopus 로고
    • An 8/5-approximation algorithm for a hard variant of stable marriage
    • Proc. COCOON 2007
    • R. W. Irving and D. F. Manlove, "An 8/5-approximation algorithm for a hard variant of stable marriage," Proc. COCOON 2007, LNCS 4598, pp. 548-558, 2007.
    • (2007) LNCS , vol.4598 , pp. 548-558
    • Irving, R.W.1    Manlove, D.F.2
  • 31
    • 50149114182 scopus 로고    scopus 로고
    • Proc. the 2nd Algorithms and Complexity in Durham workshop
    • Texts in Algorithmes, College Publications
    • R. W. Irving, D. F. Manlove and G. O'Malley, "Stable marriage with ties and bounded length preference lists," Proc. the 2nd Algorithms and Complexity in Durham workshop, Texts in Algorithmes, College Publications, 2006.
    • (2006)
    • Irving, R.W.1    Manlove, D.F.2    O'Malley, G.3
  • 32
    • 84956869818 scopus 로고    scopus 로고
    • The hospitals/residents problem with ties
    • Proc. SWAT 2000
    • R. W. Irving, D. F. Manlove, S. Scott, "The hospitals/residents problem with ties," Proc. SWAT 2000, LNCS 1851, pp. 259-271, 2000.
    • (2000) LNCS , vol.1851 , pp. 259-271
    • Irving, R.W.1    Manlove, D.F.2    Scott, S.3
  • 33
    • 35248825105 scopus 로고    scopus 로고
    • Strong stability in the hospitals/residents problem
    • Proc. STACS 2003
    • R. W. Irving, D. F. Manlove, S. Scott, "Strong stability in the hospitals/residents problem," Proc. STACS 2003, LNCS 2607, pp. 439-450, 2003.
    • (2003) LNCS , vol.2607 , pp. 439-450
    • Irving, R.W.1    Manlove, D.F.2    Scott, S.3
  • 34
    • 84887418963 scopus 로고    scopus 로고
    • Stable marriage with incomplete lists and ties
    • Proc. ICALP 99
    • K. Iwama, D. F. Manlove, S. Miyazaki, and Y. Morita, "Stable marriage with incomplete lists and ties," Proc. ICALP 99, LNCS 1644, pp. 443-452, 1999.
    • (1999) LNCS , vol.1644 , pp. 443-452
    • Iwama, K.1    Manlove, D.F.2    Miyazaki, S.3    Morita, Y.4
  • 35
    • 35048874842 scopus 로고    scopus 로고
    • A (2-c log N/N)-approximation algorithm for the stable marriage problem
    • Proc. SWAT 2004
    • K. Iwama, S. Miyazaki, and K. Okamoto, "A (2-c log N/N)-approximation algorithm for the stable marriage problem," Proc. SWAT 2004, LNCS 3111, pp. 349-361, 2004.
    • (2004) LNCS , vol.3111 , pp. 349-361
    • Iwama, K.1    Miyazaki, S.2    Okamoto, K.3
  • 37
    • 33744950524 scopus 로고    scopus 로고
    • A (2 - c-1/√N)- approximation algorithm for the stable marriage problem
    • Proc. ISAAC 2005
    • K. Iwama, S. Miyazaki, N. Yamauchi, "A (2 - c-1/√N)- approximation algorithm for the stable marriage problem," Proc. ISAAC 2005, LNCS 3827, pp. 902-914, 2005.
    • (2005) LNCS , vol.3827 , pp. 902-914
    • Iwama, K.1    Miyazaki, S.2    Yamauchi, N.3
  • 38
    • 84969218955 scopus 로고    scopus 로고
    • A 1.875-approximation algorithm for the stable marriage problem
    • K. Iwama, S. Miyazaki, N. Yamauchi, "A 1.875-approximation algorithm for the stable marriage problem," Proc. SODA 2007, pp. 288-297, 2007.
    • (2007) Proc. SODA 2007 , pp. 288-297
    • Iwama, K.1    Miyazaki, S.2    Yamauchi, N.3
  • 39
    • 38149085437 scopus 로고    scopus 로고
    • Approximation algorithms for the sex-equal stable marriage problem
    • Proc. WADS 2007
    • K. Iwama, S. Miyazaki, and H. Yanagisawa, "Approximation algorithms for the sex-equal stable marriage problem," Proc. WADS 2007, LNCS 4619, pp. 201-213, 2007.
    • (2007) LNCS , vol.4619 , pp. 201-213
    • Iwama, K.1    Miyazaki, S.2    Yanagisawa, H.3
  • 42
    • 35048879705 scopus 로고    scopus 로고
    • Strongly stable matchings in time O(nm) and extension to the H/R problem
    • T. Kavitha, K. Mehlhorn, D. Michail, and K. Paluch, "Strongly stable matchings in time O(nm) and extension to the H/R problem," Proc. STACS 2004, pp. 222-233, 2004.
    • (2004) Proc. STACS 2004 , pp. 222-233
    • Kavitha, T.1    Mehlhorn, K.2    Michail, D.3    Paluch, K.4
  • 43
  • 44
    • 50149113778 scopus 로고    scopus 로고
    • D. E. Knuth, Mariages Stables, Les Presses de l'Université Montréal, 1976. Translated and corrected edition, Stable Marriage and Its Relation to Other Combinatorial Problems, CRM Proceedings and Lecture Notes, 10, American mathematical Society, 1997.
    • D. E. Knuth, "Mariages Stables," Les Presses de l'Université Montréal, 1976. (Translated and corrected edition, "Stable Marriage and Its Relation to Other Combinatorial Problems," CRM Proceedings and Lecture Notes, Vol. 10, American mathematical Society, 1997.
  • 45
    • 33745600037 scopus 로고    scopus 로고
    • The stable roommates problem and chess tournament pairings
    • E. Kujansuu, T. Lindberg, and E. Mäkinen, "The stable roommates problem and chess tournament pairings," Divulgaciones Matemáticas, Vol. 7, No. 1, pp. 19-28, 1999.
    • (1999) Divulgaciones Matemáticas , vol.7 , Issue.1 , pp. 19-28
    • Kujansuu, E.1    Lindberg, T.2    Mäkinen, E.3
  • 47
    • 35048818485 scopus 로고    scopus 로고
    • On the stability of multiple partner stable marriages with ties
    • Proc. ESA 2004
    • V. S. Malhotra, "On the stability of multiple partner stable marriages with ties," Proc. ESA 2004, LNCS 3221, pp. 508-519, 2004.
    • (2004) LNCS , vol.3221 , pp. 508-519
    • Malhotra, V.S.1
  • 49
    • 33750743400 scopus 로고    scopus 로고
    • Popular matchings in the capacitated house allocation problem
    • Proc. ESA 2006
    • D. F. Manlove and C. T. S. Sng, "Popular matchings in the capacitated house allocation problem," Proc. ESA 2006, LNCS 4168, pp. 492-503, 2006.
    • (2006) LNCS , vol.4168 , pp. 492-503
    • Manlove, D.F.1    Sng, C.T.S.2
  • 51
    • 33746344359 scopus 로고    scopus 로고
    • Weighted popular matchings
    • J. Mestre, "Weighted popular matchings," Proc. ICALP 2006, pp. 715-726, 2006.
    • (2006) Proc. ICALP 2006 , pp. 715-726
    • Mestre, J.1
  • 52
    • 50149086589 scopus 로고    scopus 로고
    • National Resident Matching Program
    • National Resident Matching Program, http://www.nrmp.org/
  • 54
    • 84936379779 scopus 로고
    • The evolution of the labor market for medical interns and residents: A case study in game theory
    • A. E. Roth, "The evolution of the labor market for medical interns and residents: a case study in game theory", J. Political Economy, Vol. 92, No. 6, pp. 991-1016, 1984.
    • (1984) J. Political Economy , vol.92 , Issue.6 , pp. 991-1016
    • Roth, A.E.1
  • 55
    • 29544448916 scopus 로고    scopus 로고
    • Pairwise kidney exchange
    • Elsevier
    • A. E. Roth, T. Sonmez, and M. U. Unver, "Pairwise kidney exchange," Journal of Economic Theory, Elsevier, Vol. 125, No. 2, pp. 151-188, 2005.
    • (2005) Journal of Economic Theory , vol.125 , Issue.2 , pp. 151-188
    • Roth, A.E.1    Sonmez, T.2    Unver, M.U.3
  • 57
    • 38249020647 scopus 로고
    • NP-complete stable matching problems
    • E. Ronn,"NP-complete stable matching problems," J. Algorithms, Vol. 11, pp. 285-304, 1990.
    • (1990) J. Algorithms , vol.11 , pp. 285-304
    • Ronn, E.1
  • 59
    • 38449092988 scopus 로고    scopus 로고
    • A study of stable marriage problems with ties,
    • Ph.D. Thesis, University of Glasgow
    • S. Scott, "A study of stable marriage problems with ties," Ph.D. Thesis, University of Glasgow, 2005.
    • (2005)
    • Scott, S.1
  • 60
    • 0028483459 scopus 로고
    • A new approach to stable matching problems
    • A. Subramanian, "A new approach to stable matching problems," SIAM J. Comput., Vol. 23, No. 4, pp. 671-701, 1994.
    • (1994) SIAM J. Comput , vol.23 , Issue.4 , pp. 671-701
    • Subramanian, A.1
  • 61
    • 33750730330 scopus 로고    scopus 로고
    • Concerning the maximum number of stable matchings in the stable marriage problem
    • E. G. Thurber, "Concerning the maximum number of stable matchings in the stable marriage problem," Discrete Mathematics, Vol.248, pp. 195-219, 2002.
    • (2002) Discrete Mathematics , vol.248 , pp. 195-219
    • Thurber, E.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.