메뉴 건너뛰기




Volumn 8, Issue 4, 2000, Pages 239-260

Case studies and new results in combinatorial enumeration

Author keywords

Backtracking; Block design; Incidence structure; Isomorph rejection; Triple system

Indexed keywords


EID: 1542413376     PISSN: 10638539     EISSN: None     Source Type: Journal    
DOI: 10.1002/1520-6610(2000)8:4<239::AID-JCD3>3.0.CO;2-C     Document Type: Article
Times cited : (14)

References (40)
  • 1
    • 0012187733 scopus 로고
    • Extending t-designs
    • W.O. Alltop, Extending t-designs, J Combin Theory A 18 (1975), 177-186.
    • (1975) J Combin Theory A , vol.18 , pp. 177-186
    • Alltop, W.O.1
  • 2
    • 0010005878 scopus 로고    scopus 로고
    • Fast generation of cubic graphs
    • G. Brinkmann, Fast generation of cubic graphs, J Graph Theory 23, No. 2 (1996), 139-149.
    • (1996) J Graph Theory , vol.23 , Issue.2 , pp. 139-149
    • Brinkmann, G.1
  • 3
    • 4043078829 scopus 로고    scopus 로고
    • Weakly union-free twofold triple systems
    • Y.M. Chee, C.J. Colbourn, and A.C.H. Ling, Weakly union-free twofold triple systems, Ann Combin 1 (1997), 215-225.
    • (1997) Ann Combin , vol.1 , pp. 215-225
    • Chee, Y.M.1    Colbourn, C.J.2    Ling, A.C.H.3
  • 4
    • 0002121104 scopus 로고
    • Directed and Mendelsohn triple systems
    • Ed. J.H. Dinitz and D.R. Stinson, John Wiley, New York
    • C.J. Colbourn and A. Rosa, Directed and Mendelsohn triple systems, in: Contemporary design theory: A collection of surveys, Ed. J.H. Dinitz and D.R. Stinson, John Wiley, New York, 1992, pp. 97-136.
    • (1992) Contemporary Design Theory: A Collection of Surveys , pp. 97-136
    • Colbourn, C.J.1    Rosa, A.2
  • 6
    • 85037480659 scopus 로고    scopus 로고
    • Published
    • Published as CDMTCS Technical Report #85, available at http://www.cs.auckland.ac.nz/CDMTCS/
    • CDMTCS Technical Report #85
  • 7
    • 84885939093 scopus 로고    scopus 로고
    • A census of t-(t + 8, t + 2, 4) designs, 2 ≤ t ≤ 4
    • to appear
    • P.C. Denny and R. Mathon, A census of t-(t + 8, t + 2, 4) designs, 2 ≤ t ≤ 4, J Statist Plann Inference, to appear.
    • J Statist Plann Inference
    • Denny, P.C.1    Mathon, R.2
  • 9
    • 0006049719 scopus 로고
    • A fast algorithm for finding strong starters
    • J.H. Dinitz and D.R. Stinson, A fast algorithm for finding strong starters, SIAM J Alg Disc Meth 2 (1981), 50-56.
    • (1981) SIAM J Alg Disc Meth , vol.2 , pp. 50-56
    • Dinitz, J.H.1    Stinson, D.R.2
  • 10
    • 27844525510 scopus 로고    scopus 로고
    • Skew-orthogonal Steiner triple systems
    • P. Dukes and E. Mendelsohn, Skew-orthogonal Steiner triple systems, J Combin Designs 7 (1999), 431-440.
    • (1999) J Combin Designs , vol.7 , pp. 431-440
    • Dukes, P.1    Mendelsohn, E.2
  • 13
    • 3142529726 scopus 로고
    • A new extremal property of Steiner triple systems
    • P. Frankl and Z. Furedi, A new extremal property of Steiner triple systems, Discrete Math 48 (1984), 205-212.
    • (1984) Discrete Math , vol.48 , pp. 205-212
    • Frankl, P.1    Furedi, Z.2
  • 14
    • 0010952409 scopus 로고
    • A complete census of (10,3,2)-block designs and of Mendelsohn triple systems of order 10. I. Mendelsohn triple systems without repeated blocks
    • B. Ganter, R. Mathon, and A. Rosa, A complete census of (10,3,2)-block designs and of Mendelsohn triple systems of order 10. I. Mendelsohn triple systems without repeated blocks, in: Proc Seventh Manitoba Conf Numerical Math and Computing, 1977, pp. 383-398.
    • (1977) Proc Seventh Manitoba Conf Numerical Math and Computing , pp. 383-398
    • Ganter, B.1    Mathon, R.2    Rosa, A.3
  • 15
    • 85012576318 scopus 로고
    • A complete census of (10,3,2)-block designs and of Mendelsohn triple systems of order 10. II. Mendelsohn triple systems with repeated blocks
    • -, A complete census of (10,3,2)-block designs and of Mendelsohn triple systems of order 10. II. Mendelsohn triple systems with repeated blocks, in: Proc Eighth Manitoba Conf Numerical Math and Computing, 1978, pp. 181-204.
    • (1978) Proc Eighth Manitoba Conf Numerical Math and Computing , pp. 181-204
  • 17
    • 0002292602 scopus 로고    scopus 로고
    • Computational methods in design theory
    • Ed. C.J. Colbourn and J.H. Dinitz, CRC Press
    • -, Computational methods in design theory, in: CRC Handbook of Combinatorial Designs, Ed. C.J. Colbourn and J.H. Dinitz, CRC Press, 1996, pp. 718-740.
    • (1996) CRC Handbook of Combinatorial Designs , pp. 718-740
  • 18
    • 0002539270 scopus 로고
    • Construction methods for Bhaskar Rao and related designs
    • P.B. Gibbons and R.A. Mathon, Construction methods for Bhaskar Rao and related designs, J Austral Math Soc (A) 42 (1987), 5-30.
    • (1987) J Austral Math Soc (A) , vol.42 , pp. 5-30
    • Gibbons, P.B.1    Mathon, R.A.2
  • 19
    • 27844487604 scopus 로고
    • Computing techniques for the construction and analysis of block designs
    • P.B. Gibbons, R.A. Mathon, and D.G. Cornell, Computing techniques for the construction and analysis of block designs, Utilitas Math 11 (1977), 161-192.
    • (1977) Utilitas Math , vol.11 , pp. 161-192
    • Gibbons, P.B.1    Mathon, R.A.2    Cornell, D.G.3
  • 21
    • 0348153533 scopus 로고    scopus 로고
    • Configurations
    • Ed. C.J. Colbourn and J.H. Dinitz, CRC Press
    • H. Gropp, Configurations, in: CRC Handbook of Combinatorial Designs, Ed. C.J. Colbourn and J.H. Dinitz, CRC Press, 1996, pp. 253-255.
    • (1996) CRC Handbook of Combinatorial Designs , pp. 253-255
    • Gropp, H.1
  • 22
  • 24
    • 0039763253 scopus 로고
    • Constructive enumeration of incidence systems
    • A.V. Ivanov, Constructive enumeration of incidence systems, Ann Discrete Math 26 (1985), 227-246.
    • (1985) Ann Discrete Math , vol.26 , pp. 227-246
    • Ivanov, A.V.1
  • 25
    • 0038575550 scopus 로고
    • t-Designs on hypergraphs
    • E.S. Kramer and D.S. Mesner, t-Designs on hypergraphs, Discrete Math 15 (1976), 263-296.
    • (1976) Discrete Math , vol.15 , pp. 263-296
    • Kramer, E.S.1    Mesner, D.S.2
  • 27
    • 0000853821 scopus 로고
    • The non-existence of finite projective planes of order 10
    • C.W.H. Lam, L. Thiel, and S. Swiercz, The non-existence of finite projective planes of order 10, Canad J Math 41 (1989), 1117-1123.
    • (1989) Canad J Math , vol.41 , pp. 1117-1123
    • Lam, C.W.H.1    Thiel, L.2    Swiercz, S.3
  • 28
    • 85037466195 scopus 로고    scopus 로고
    • private communication
    • R. Mathon, private communication.
    • Mathon, R.1
  • 29
    • 2642554933 scopus 로고    scopus 로고
    • Computational methods in design theory
    • Ed. W.D. Wallis, Kluwer
    • R. Mathon, Computational methods in design theory, in: Computational and Constructive Design Theory, Ed. W.D. Wallis, Kluwer, 1996, pp. 29-48.
    • (1996) Computational and Constructive Design Theory , pp. 29-48
    • Mathon, R.1
  • 30
    • 0003039320 scopus 로고    scopus 로고
    • 2-(v, k, λ) designs of small order
    • Ed. C.J. Colbourn and J.H. Dinitz, CRC Press
    • R. Mathon and A. Rosa, 2-(v, k, λ) designs of small order, in: CRC Handbook of Combinatorial Designs, Ed. C.J. Colbourn and J.H. Dinitz, CRC Press, 1996, pp. 3-41.
    • (1996) CRC Handbook of Combinatorial Designs , pp. 3-41
    • Mathon, R.1    Rosa, A.2
  • 31
    • 85037463663 scopus 로고    scopus 로고
    • private communication
    • B. McKay, private communication.
    • McKay, B.1
  • 32
    • 0001540056 scopus 로고    scopus 로고
    • Isomorph-free exhaustive generation
    • B.D. McKay, Isomorph-free exhaustive generation, J Algorithms 26 (1998), 306-324.
    • (1998) J Algorithms , vol.26 , pp. 306-324
    • McKay, B.D.1
  • 34
    • 0033476792 scopus 로고    scopus 로고
    • Fast generation of regular graphs and construction of cages
    • M. Meringer, Fast generation of regular graphs and construction of cages, J Graph Theory 30 (1999), no. 2, 137-146.
    • (1999) J Graph Theory , vol.30 , Issue.2 , pp. 137-146
    • Meringer, M.1
  • 36
    • 27844432267 scopus 로고
    • On the enumeration of 2-(7,3,λ) block designs
    • -, On the enumeration of 2-(7,3,λ) block designs, J Combin Math Combin Comput 16 (1994), 103-114.
    • (1994) J Combin Math Combin Comput , vol.16 , pp. 103-114
  • 37
    • 0001453807 scopus 로고
    • Every one a winner
    • R.C. Read, Every one a winner, Ann Discrete Math 2 (1978), 107-120.
    • (1978) Ann Discrete Math , vol.2 , pp. 107-120
    • Read, R.C.1
  • 38
    • 84966255364 scopus 로고
    • The structure of certain triple systems
    • R.M. Robinson, The structure of certain triple systems, Math Comput 20 (1975), 223-241.
    • (1975) Math Comput , vol.20 , pp. 223-241
    • Robinson, R.M.1
  • 39
    • 0013361440 scopus 로고
    • Some results on quadrilaterals in Steiner triple systems
    • D.R. Stinson and R. Wei, Some results on quadrilaterals in Steiner triple systems, Discrete Math. 105 (1992), 207-219.
    • (1992) Discrete Math. , vol.105 , pp. 207-219
    • Stinson, D.R.1    Wei, R.2
  • 40
    • 79954606538 scopus 로고
    • Isomorph rejection in exhaustive search techniques
    • J.D. Swift, Isomorph rejection in exhaustive search techniques, Proc A.M.S. Symp Appl Math 10 (1958), 195-200.
    • (1958) Proc A.M.S. Symp Appl Math , vol.10 , pp. 195-200
    • Swift, J.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.