메뉴 건너뛰기




Volumn 15, Issue 4, 2002, Pages 546-561

A fast algorithm for generating nonisomorphic chord diagrams

Author keywords

Chord diagram; Enumeration; Generation algorithm; Necklace

Indexed keywords

ALGORITHMS; INVARIANCE; MATHEMATICAL MODELS; PROBLEM SOLVING;

EID: 0036662502     PISSN: 08954801     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895480100377970     Document Type: Article
Times cited : (4)

References (15)
  • 1
    • 0000970787 scopus 로고
    • On the Vassiliev knot invariants
    • D. Bar-Natan, On the Vassiliev knot invariants, Topology, 34 (1995), pp. 423-472.
    • (1995) Topology , vol.34 , pp. 423-472
    • Bar-Natan, D.1
  • 3
    • 0003163347 scopus 로고    scopus 로고
    • Fast algorithms to generate necklaces, unlabeled necklaces, and irreducible polynomials over GF(2)
    • K. Cattell, F. Ruskey, J. Sawada, C.R. Miers, And M. Serra, Fast algorithms to generate necklaces, unlabeled necklaces, and irreducible polynomials over GF(2), J. Algorithms, 37 (2000), pp. 267-282.
    • (2000) J. Algorithms , vol.37 , pp. 267-282
    • Cattell, K.1    Ruskey, F.2    Sawada, J.3    Miers, C.R.4    Serra, M.5
  • 4
    • 0011476563 scopus 로고    scopus 로고
    • Counting non-isomorphic chord diagrams
    • R. Cori And M. Marcus, Counting non-isomorphic chord diagrams, Theoret. Comput. Sci., 204 (1998), pp. 55-73.
    • (1998) Theoret. Comput. Sci. , vol.204 , pp. 55-73
    • Cori, R.1    Marcus, M.2
  • 5
    • 0000075456 scopus 로고
    • Factoring words over an ordered alphabet
    • J.-P. Duval, Factoring words over an ordered alphabet, J. Algorithms, 4 (1983), pp. 363-381.
    • (1983) J. Algorithms , vol.4 , pp. 363-381
    • Duval, J.-P.1
  • 6
    • 0000430358 scopus 로고
    • The Euler characteristic of the moduli space of curves
    • J. Harer And D. Zagier, The Euler characteristic of the moduli space of curves, Invent. Math., 85 (1986), pp. 457-485.
    • (1986) Invent. Math. , vol.85 , pp. 457-485
    • Harer, J.1    Zagier, D.2
  • 7
    • 0011506556 scopus 로고
    • Folding a strip of stamps
    • J.E. Koehler, Folding a strip of stamps, J. Combinatorial Theory, 5 (1968), pp. 135-152.
    • (1968) J. Combinatorial Theory , vol.5 , pp. 135-152
    • Koehler, J.E.1
  • 8
    • 0011431902 scopus 로고    scopus 로고
    • Exact number of chord diagrams and an estimation of the number of spine diagrams of order n
    • B. Li And H. Sun, Exact number of chord diagrams and an estimation of the number of spine diagrams of order n, Chinese Sci. Bull., 42 (1997), pp. 705-720.
    • (1997) Chinese Sci. Bull. , vol.42 , pp. 705-720
    • Li, B.1    Sun, H.2
  • 9
    • 0033299654 scopus 로고    scopus 로고
    • An efficient algorithm for generating necklaces of fixed density
    • F. Ruskey And J. Sawada, An efficient algorithm for generating necklaces of fixed density, SIAM J. Comput., 29 (1999), pp. 671-684.
    • (1999) SIAM J. Comput. , vol.29 , pp. 671-684
    • Ruskey, F.1    Sawada, J.2
  • 11
    • 0036215403 scopus 로고    scopus 로고
    • Generating bracelets in constant amortized time
    • J. Sawada, Generating bracelets in constant amortized time, SIAM J. Comput., 31 (2001), pp. 259-268.
    • (2001) SIAM J. Comput. , vol.31 , pp. 259-268
    • Sawada, J.1
  • 12
    • 0032371155 scopus 로고    scopus 로고
    • Enumeration of chord diagrams and an upper bound for Vassiliev invariants
    • A. Stoimenow, Enumeration of chord diagrams and an upper bound for Vassiliev invariants, J. Knot Theory Ramifications, 7 (1998), pp. 93-114.
    • (1998) J. Knot Theory Ramifications , vol.7 , pp. 93-114
    • Stoimenow, A.1
  • 13
    • 0011508783 scopus 로고    scopus 로고
    • On the number of chord diagrams
    • A. Stoimenow, On the number of chord diagrams, Discrete Math., 218 (2000), pp. 209-233.
    • (2000) Discrete Math. , vol.218 , pp. 209-233
    • Stoimenow, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.