메뉴 건너뛰기




Volumn 40, Issue 3, 2006, Pages 269-284

The number of transversals in a Latin square

Author keywords

Cayley table; Latin square; n queens; Transversal; Turn square

Indexed keywords

CRYPTOGRAPHY; MATRIX ALGEBRA; NUMERICAL METHODS;

EID: 33747622804     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10623-006-0012-8     Document Type: Article
Times cited : (60)

References (28)
  • 1
    • 4444282570 scopus 로고    scopus 로고
    • Transversals and multicolored matchings
    • Akbari S, Alireza A (2004) Transversals and multicolored matchings. J Combin Des 12:325-332
    • (2004) J Combin Des , vol.12 , pp. 325-332
    • Akbari, S.1    Alireza, A.2
  • 2
    • 4043126968 scopus 로고
    • On transversals in Latin squares
    • Balasubramanian K (1990) On transversals in Latin squares. Linear Algebra Appl 131:125-129
    • (1990) Linear Algebra Appl , vol.131 , pp. 125-129
    • Balasubramanian, K.1
  • 3
    • 18544403036 scopus 로고    scopus 로고
    • Enumeration of transversals in the Cayley tables of the non-cyclic groups of order 8
    • Bedford D, Wliitaker RM (1999) Enumeration of transversals in the Cayley tables of the non-cyclic groups of order 8. Discrete Math 197/198:77-81
    • (1999) Discrete Math , vol.197-198 , pp. 77-81
    • Bedford, D.1    Wliitaker, R.M.2
  • 4
    • 33747627238 scopus 로고
    • More on order 10 turn-squares
    • Brown JW, Parker ET (1993) More on order 10 turn-squares. Ars Combin 35:125-127
    • (1993) Ars Combin , vol.35 , pp. 125-127
    • Brown, J.W.1    Parker, E.T.2
  • 5
    • 17444370932 scopus 로고    scopus 로고
    • Covering radius for sets of permutations
    • Cameron PJ, Wanless IM (2005) Covering radius for sets of permutations. Discrete Math 293:91-109
    • (2005) Discrete Math , vol.293 , pp. 91-109
    • Cameron, P.J.1    Wanless, I.M.2
  • 7
    • 33747597893 scopus 로고    scopus 로고
    • Deriving the number of good permutations, with application to cryptography
    • Cooper C, Gilchrist R, Kovalenko I, Novakovic D (2000) Deriving the number of good permutations, with application to cryptography. Cybern Syst Anal 5:10-16.
    • (2000) Cybern Syst Anal , vol.5 , pp. 10-16
    • Cooper, C.1    Gilchrist, R.2    Kovalenko, I.3    Novakovic, D.4
  • 8
    • 33747603092 scopus 로고    scopus 로고
    • The upper bound for the number of complete mappings
    • Cooper C, Kovalenko I (1996) The upper bound for the number of complete mappings. Theory Probab Math Statist 53:77-83.
    • (1996) Theory Probab Math Statist , vol.53 , pp. 77-83
    • Cooper, C.1    Kovalenko, I.2
  • 10
    • 0009229491 scopus 로고
    • Latin squares: New developments in the theory and applications
    • North-Holland, Amsterdam
    • Dénes J, Keedwell AD ( 1991) Latin squares: new developments in the theory and applications. Annator of Discrete Mathametics, vol. 46. North-Holland, Amsterdam
    • (1991) Annator of Discrete Mathametics , vol.46
    • Dénes, J.1    Keedwell, A.D.2
  • 11
    • 33747623383 scopus 로고
    • On a conjecture of Brualdi
    • (in Russian). Matlssled. No. 102
    • Derienko II (1988) On a conjecture of Brualdi (in Russian). Matlssled. No. 102, Issled. Oper, i Kvazigrupp 119:53-65
    • (1988) Issled. Oper, i Kvazigrupp , vol.119 , pp. 53-65
    • Derienko, I.I.1
  • 12
    • 32544448338 scopus 로고    scopus 로고
    • The length of a partial transversal in a Latin square
    • Fu H, Lin S (2002) The length of a partial transversal in a Latin square. J Combin Math Combin Comput 43:57-64
    • (2002) J Combin Math Combin Comput , vol.43 , pp. 57-64
    • Fu, H.1    Lin, S.2
  • 16
    • 33747010472 scopus 로고    scopus 로고
    • On an upper bound for the number of complete mappings
    • Kovalenko I (1996) On an upper bound for the number of complete mappings. Cybern Syst Anal 32:65-68.
    • (1996) Cybern Syst Anal , vol.32 , pp. 65-68
    • Kovalenko, I.1
  • 17
    • 0345742420 scopus 로고    scopus 로고
    • Atomic Latin squares of order eleven
    • Maenhaut BM, Wanless IM (2004) Atomic Latin squares of order eleven. J Combin Des 12:12-34
    • (2004) J Combin Des , vol.12 , pp. 12-34
    • Maenhaut, B.M.1    Wanless, I.M.2
  • 18
    • 33747592236 scopus 로고    scopus 로고
    • Small Latin squares, quasigroups and loops
    • to appear
    • McKay BD, Meynert A, Myrvold W (to appear) Small Latin squares, quasigroups and loops. J Combin Des http://dx.doi.org/10.1002/jed.2005
    • J Combin Des
    • McKay, B.D.1    Meynert, A.2    Myrvold, W.3
  • 19
    • 0344095597 scopus 로고    scopus 로고
    • Most Latin squares have many subsquares
    • McKay BD, Wanless IM (1999) Most Latin squares have many subsquares. J Combin Theory Ser A 86:323-347
    • (1999) J Combin Theory Ser A , vol.86 , pp. 323-347
    • McKay, B.D.1    Wanless, I.M.2
  • 23
    • 0742310344 scopus 로고    scopus 로고
    • On the enumeration of abelian k-complete mappings
    • Shieh YP, Hsiang J, Hsu DF (2000) On the enumeration of abelian k-complete mappings. Congr Numer 144:67-88
    • (2000) Congr Numer , vol.144 , pp. 67-88
    • Shieh, Y.P.1    Hsiang, J.2    Hsu, D.F.3
  • 24
    • 0039012732 scopus 로고
    • A lower bound for the length of a partial transversal in a Latin square
    • Shor PW (1982) A lower bound for the length of a partial transversal in a Latin square. J Combin Theory Ser A 33:1-8
    • (1982) J Combin Theory Ser A , vol.33 , pp. 1-8
    • Shor, P.W.1
  • 27
  • 28
    • 0012703698 scopus 로고    scopus 로고
    • A generalisation of transversals for Latin squares
    • Wanless IM (2002) A generalisation of transversals for Latin squares. Electron J Combin 9:R12
    • (2002) Electron J Combin , vol.9
    • Wanless, I.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.