메뉴 건너뛰기




Volumn 43, Issue 1, 2002, Pages 85-105

The stable roommates problem with ties

Author keywords

Approximation algorithm; Indifference; Linear time algorithm; NP completeness; Stable matching problem; Super stability; Weak stability

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; ASYMPTOTIC STABILITY; COMPUTATIONAL COMPLEXITY;

EID: 0036557486     PISSN: 01966774     EISSN: None     Source Type: Journal    
DOI: 10.1006/jagm.2002.1219     Document Type: Article
Times cited : (88)

References (19)
  • 1
    • 0028333514 scopus 로고
    • A sublinear parallel algorithm for stable matching
    • Assoc. Comput. Mach.-Soc. for Industr. & Appl. Math., New York Philadelphia
    • T. Feder, N. Megiddo, and S. Plotkin, A sublinear parallel algorithm for stable matching, in Proceedings of SODA '94: The 5th ACM-SIAM Symposium on Discrete Algorithms, pp. 632-637, Assoc. Comput. Mach.-Soc. for Industr. & Appl. Math., New York Philadelphia, 1994.
    • (1994) Proceedings of SODA '94: The 5th ACM-SIAM Symposium on Discrete Algorithms , pp. 632-637
    • Feder, T.1    Megiddo, N.2    Plotkin, S.3
  • 2
    • 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 69 (1962), 9-15.
    • (1962) Amer. Math. Monthly , vol.69 , pp. 9-15
    • Gale, D.1    Shapley, L.S.2
  • 3
    • 0004127488 scopus 로고
    • Computers and intractability
    • Freeman, San Francisco
    • M. R. Garey and D. S. Johnson, "Computers and Intractability," Freeman, San Francisco, 1979.
    • (1979)
    • Garey, M.R.1    Johnson, D.S.2
  • 4
    • 0024054675 scopus 로고
    • The structure of the stable roommate problem - Efficient representation and enumeration of all stable assignments
    • D. Gusfield, The structure of the stable roommate problem - Efficient representation and enumeration of all stable assignments, SIAM J. Comput. 17, No. 4 (1988), 742-769.
    • (1988) SIAM J. Comput. , vol.17 , Issue.4 , pp. 742-769
    • Gusfield, D.1
  • 5
    • 0004135469 scopus 로고
    • The stable marriage problem: Structure and algorithms
    • MIT Press, Cambridge, MA
    • D. Gusfield and R. W. Irving, "The Stable Marriage Problem: Structure and Algorithms," MIT Press, Cambridge, MA, 1989.
    • (1989)
    • Gusfield, D.1    Irving, R.W.2
  • 7
    • 0039468436 scopus 로고
    • An efficient algorithm for the "stable roommates" problem
    • R. W. Irving, An efficient algorithm for the "stable roommates" problem, J. Algorithms 6 (1985), 577-595.
    • (1985) J. Algorithms , vol.6 , pp. 577-595
    • Irving, R.W.1
  • 8
    • 0003592880 scopus 로고
    • On the stable room-mates problem
    • Technical Report CSC/86/R5, University of Glasgow, Department of Computing Science
    • R. W. Irving, "On the Stable Room-Mates Problem," Technical Report CSC/86/R5, University of Glasgow, Department of Computing Science, 1986.
    • (1986)
    • Irving, R.W.1
  • 9
    • 38149148462 scopus 로고
    • Stable marriage and indifference
    • R. W. Irving, Stable marriage and indifference, Discrete Appl. Math. 48 (1994), 261-272.
    • (1994) Discrete Appl. Math. , vol.48 , pp. 261-272
    • Irving, R.W.1
  • 12
    • 0003201317 scopus 로고    scopus 로고
    • Stable marriage and its relation to other combinatorial problems
    • Am. Math. Soc., Providence; (English translation of "Marriages Stables," Les Presses de L'Université de Montréal, 1976.)
    • D. E. Knuth, "Stable Marriage and Its Relation to Other Combinatorial Problems," CRM Proceedings and Lecture Notes, Vol. 10, Am. Math. Soc., Providence, 1997. (English translation of "Marriages Stables," Les Presses de L'Université de Montréal, 1976.)
    • (1997) CRM Proceedings and Lecture Notes , vol.10
    • Knuth, D.E.1
  • 13
    • 0013290652 scopus 로고    scopus 로고
    • NP-completeness of stable marriage with partially ordered lists under strong stability
    • unpublished manuscript
    • D. F. Manlove, NP-completeness of stable marriage with partially ordered lists under strong stability, unpublished manuscript, 2000.
    • (2000)
    • Manlove, D.F.1
  • 15
    • 4244204654 scopus 로고
    • On the complexity of stable matchings with and without ties
    • Ph.D. thesis, Yale University
    • E. Ronn, On the complexity of stable matchings with and without ties, Ph.D. thesis, Yale University, 1986.
    • (1986)
    • Ronn, E.1
  • 16
    • 38249020647 scopus 로고
    • NP-complete stable matching problems
    • E. Ronn, NP-complete stable matching problems, J. Algorithms 11 (1990), 285-304.
    • (1990) J. Algorithms , vol.11 , pp. 285-304
    • Ronn, E.1
  • 17
    • 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 Econ. 92, No. 6 (1984), 991-1016.
    • (1984) J. Political Econ. , vol.92 , Issue.6 , pp. 991-1016
    • Roth, A.E.1
  • 18
    • 0000883187 scopus 로고
    • A necessary and sufficient condition for the existence of a complete stable matching
    • J. J. M. Tan, A necessary and sufficient condition for the existence of a complete stable matching, J. Algorithms 12 (1991), 154-178.
    • (1991) J. Algorithms , vol.12 , pp. 154-178
    • Tan, J.J.M.1
  • 19
    • 0001559260 scopus 로고
    • Edge dominating sets in graphs
    • M. Yannakakis and F. Gavril, Edge dominating sets in graphs, SIAM J. Appl. Math. 18, No. 1 (1980), 364-372.
    • (1980) SIAM J. Appl. Math. , vol.18 , Issue.1 , pp. 364-372
    • Yannakakis, M.1    Gavril, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.