메뉴 건너뛰기




Volumn 307, Issue 2, 2003, Pages 415-431

A loopless algorithm for generating the permutations of a multiset

Author keywords

Gray codes; Loopless generating algorithms; Multiset permutations; Shuffle combinatorial objects

Indexed keywords

ALGORITHMS; CODES (SYMBOLS); COMBINATORIAL MATHEMATICS; TRAJECTORIES;

EID: 0141525074     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(03)00228-7     Document Type: Conference Paper
Times cited : (26)

References (20)
  • 1
    • 0016994626 scopus 로고
    • Efficient generation of the binary reflected Gray code and its applications
    • Bitner J.R., Ehrlich G., Reingold E.M. Efficient generation of the binary reflected Gray code and its applications. Comm. ACM. 19(9):1976;517-521.
    • (1976) Comm. ACM , vol.19 , Issue.9 , pp. 517-521
    • Bitner, J.R.1    Ehrlich, G.2    Reingold, E.M.3
  • 2
    • 0002379536 scopus 로고
    • A loop-free algorithm for generating linear extensions of a poset
    • Canfield E.R., Williamson S.G. A loop-free algorithm for generating linear extensions of a poset. Order. 12:1995;57-75.
    • (1995) Order , vol.12 , pp. 57-75
    • Canfield, E.R.1    Williamson, S.G.2
  • 3
    • 84976819066 scopus 로고
    • Algorithm 383
    • Chase P.J. Algorithm 383. Comm. ACM. 13:1970;368-370.
    • (1970) Comm. ACM , vol.13 , pp. 368-370
    • Chase, P.J.1
  • 4
    • 0021510752 scopus 로고
    • An algorithm for generating subsets of fixed size with a strong minimal change property
    • Eades G., McKay B. An algorithm for generating subsets of fixed size with a strong minimal change property. Inform. Process. Lett. 19:1984;131-133.
    • (1984) Inform. Process. Lett. , vol.19 , pp. 131-133
    • Eades, G.1    McKay, B.2
  • 5
    • 84976666253 scopus 로고
    • Loopless algorithms for generating permutations, combinations, and other combinatorial configurations
    • Ehrlich G. Loopless algorithms for generating permutations, combinations, and other combinatorial configurations. J. Assoc. Comput. Mach. 20:1973;500-513.
    • (1973) J. Assoc. Comput. Mach. , vol.20 , pp. 500-513
    • Ehrlich, G.1
  • 6
    • 0021473783 scopus 로고
    • On generating the n-ary reflected Gray codes
    • Er M.C. On generating the n-ary reflected Gray codes. IEEE Trans. Comput. 33(8):1984;739-741.
    • (1984) IEEE Trans. Comput. , vol.33 , Issue.8 , pp. 739-741
    • Er, M.C.1
  • 7
    • 0027110422 scopus 로고
    • Generating permutations of a bag by interchanges
    • Ko C.W., Ruskey F. Generating permutations of a bag by interchanges. Inform. Process. Lett. 41(5):1992;263-269.
    • (1992) Inform. Process. Lett. , vol.41 , Issue.5 , pp. 263-269
    • Ko, C.W.1    Ruskey, F.2
  • 8
    • 0000379410 scopus 로고    scopus 로고
    • Generating multiset permutations in constant time
    • Korsh J.F., Lipschutz S. Generating multiset permutations in constant time. J. Algorithms. 25:1997;321-335.
    • (1997) J. Algorithms , vol.25 , pp. 321-335
    • Korsh, J.F.1    Lipschutz, S.2
  • 9
    • 0141555827 scopus 로고
    • Théorie de nombres, Gauthier-Villard, Paris (repr. Blanchard, 1961)
    • E. Lucas, Théorie de nombres, Gauthier-Villard, Paris, 1891 (repr. Blanchard, 1961).
    • (1891)
    • Lucas, E.1
  • 11
    • 77957783505 scopus 로고
    • Simple combinatorial Gray codes constructed by reversing sublists
    • F. Ruskey, Simple combinatorial Gray codes constructed by reversing sublists, in: ISAAC Conf., Lecture Notes in Computer Science, Vol. 762, 1993, pp. 201-208.
    • (1993) ISAAC Conf., Lecture Notes in Computer Science , vol.762 , pp. 201-208
    • Ruskey, F.1
  • 14
    • 0031353426 scopus 로고    scopus 로고
    • A survey of combinatorial Gray codes
    • Savage C. A survey of combinatorial Gray codes. SIAM Rev. 39(4):1997;605-629.
    • (1997) SIAM Rev. , vol.39 , Issue.4 , pp. 605-629
    • Savage, C.1
  • 15
    • 84958034173 scopus 로고    scopus 로고
    • An O(1) time algorithm for generating multiset permutations
    • Issac 99
    • T. Takaoka, An O(1) time algorithm for generating multiset permutations, Issac 99, Lecture Notes in Computer Science, Vol. 1741, 1999, pp. 237-246.
    • (1999) Lecture Notes in Computer Science , vol.1741 , pp. 237-246
    • Takaoka, T.1
  • 16
    • 84945709722 scopus 로고
    • Perm (Algorithm 115)
    • Trotter H.F. Perm (Algorithm 115). Comm. ACM. 5(8):1962;434-435.
    • (1962) Comm. ACM , vol.5 , Issue.8 , pp. 434-435
    • Trotter, H.F.1
  • 17
    • 0032203353 scopus 로고    scopus 로고
    • On the Loopless Generation of Binary Tree Sequences
    • Vajnovszki V. On the Loopless Generation of Binary Tree Sequences. Inform. Process. Lett. 68:1998;113-117.
    • (1998) Inform. Process. Lett. , vol.68 , pp. 113-117
    • Vajnovszki, V.1
  • 18
    • 0012246627 scopus 로고    scopus 로고
    • Loop-free sequencing of bounded integer compositions
    • Walsh T.R. Loop-free sequencing of bounded integer compositions. J. Combin. Math. Combin. Comput. 33:2000;323-345.
    • (2000) J. Combin. Math. Combin. Comput. , vol.33 , pp. 323-345
    • Walsh, T.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.