메뉴 건너뛰기




Volumn 138, Issue 1-2, 2004, Pages 89-97

Completing partial latin squares with prescribed diagonals

Author keywords

Completion; Cyclically generated; Partial latin square

Indexed keywords

CODES (SYMBOLS); MATRIX ALGEBRA; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

EID: 17444449196     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-218X(03)00272-5     Document Type: Conference Paper
Times cited : (6)

References (13)
  • 3
    • 0041486308 scopus 로고
    • Completion of sparse partial latin squares
    • Graph Theory and Combinatorics, Cambridge, Academic Press, London, 1984
    • D.E. Daykin, R. Häggkvist, Completion of sparse partial latin squares, in: Graph Theory and Combinatorics, Proceedings of Conference on Hon. P. Erdös, Cambridge 1983, Academic Press, London, 1984, pp. 127-132.
    • (1983) Proceedings of Conference on Hon. P. Erdös , pp. 127-132
    • Daykin, D.E.1    Häggkvist, R.2
  • 5
    • 0009229491 scopus 로고
    • Latin Squares: New Developments in the Theory and Applications
    • North-Holland, Amsterdam
    • J. Dénes, A.D. Keedwell (Eds.), Latin Squares: New Developments in the Theory and Applications, Annals of Discrete Mathematics, Vol. 46, North-Holland, Amsterdam, 1991.
    • (1991) Annals of Discrete Mathematics , vol.46
    • Dénes, J.1    Keedwell, A.D.2
  • 6
    • 0013537441 scopus 로고
    • Embedding incomplete latin squares
    • Evans T. Embedding incomplete latin squares. Amer. Math. Monthly. 67:1960;959-961.
    • (1960) Amer. Math. Monthly , vol.67 , pp. 959-961
    • Evans, T.1
  • 7
    • 0002292602 scopus 로고    scopus 로고
    • Computational methods in design theory
    • C.J. Colbourn, J.H. Dinitz (Eds.), CRC Press, Boca Raton, FL
    • P.B. Gibbons, Computational methods in design theory, in: C.J. Colbourn, J.H. Dinitz (Eds.), The CRC Handbook of Combinatorial Designs, CRC Press, Boca Raton, FL, 1996, pp. 718-740.
    • (1996) The CRC Handbook of Combinatorial Designs , pp. 718-740
    • Gibbons, P.B.1
  • 8
    • 84986495462 scopus 로고
    • The use of hill-climbing to construct orthogonal Steiner triple systems
    • Gibbons P.B., Mathon R. The use of hill-climbing to construct orthogonal Steiner triple systems. J. Combin. Designs. 1:1993;27-50.
    • (1993) J. Combin. Designs , vol.1 , pp. 27-50
    • Gibbons, P.B.1    Mathon, R.2
  • 9
    • 0010758624 scopus 로고
    • A solution of the Evans conjecture for latin squares of large size
    • A. Hajnal, V.T. Sos (Eds.), Combinatorics, Keszthely 1976, North-Holland, Amsterdam
    • R. Häggkvist, A solution of the Evans conjecture for latin squares of large size, in: A. Hajnal, V.T. Sos (Eds.), Combinatorics, Keszthely 1976, Coll. Math. Soc. Janos Bölyai, Vol. 18, North-Holland, Amsterdam, 1978, pp. 495-514.
    • (1978) Coll. Math. Soc. Janos Bölyai , vol.18 , pp. 495-514
    • Häggkvist, R.1
  • 10
    • 0041486315 scopus 로고
    • On completing latin rectangles
    • Lindner C.C. On completing latin rectangles. Canad. Math. Bull. 13:1970;65-68.
    • (1970) Canad. Math. Bull. , vol.13 , pp. 65-68
    • Lindner, C.C.1
  • 11
  • 12
    • 0041491338 scopus 로고    scopus 로고
    • Mandatory representation designs MR(3,k;v) with k even and v odd
    • Rees R.S. Mandatory representation designs. MR(3,k;v) with k even and v odd J. Statist. Plann. Inference. 86:2000;567-594.
    • (2000) J. Statist. Plann. Inference , vol.86 , pp. 567-594
    • Rees, R.S.1
  • 13
    • 0042488236 scopus 로고
    • A new construction on latin squares I. A proof of the Evans conjecture
    • Smetaniuk B. A new construction on latin squares I. A proof of the Evans conjecture. Ars Combin. 11:1981;155-172.
    • (1981) Ars Combin. , vol.11 , pp. 155-172
    • Smetaniuk, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.