메뉴 건너뛰기




Volumn 154, Issue 12, 2006, Pages 1649-1673

New Z-cyclic triplewhist frames and triplewhist tournament designs

Author keywords

Cyclic difference matrices; Near resolvable BIBDs; Resolvable BIBDs; Triplewhist designs; Whist tournaments; Z cyclic designs; Z cyclic frames; Z cyclic triplewhist frames

Indexed keywords

COMBINATORIAL CIRCUITS; LOGIC DESIGN; MATRIX ALGEBRA;

EID: 33646922846     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dam.2006.03.001     Document Type: Article
Times cited : (16)

References (29)
  • 1
    • 23144467815 scopus 로고    scopus 로고
    • Quintessential PBDs and PBDs with prime power block sizes {greater than or slanted equal to} 8
    • Abel R.J.R., and Bennett F.E. Quintessential PBDs and PBDs with prime power block sizes {greater than or slanted equal to} 8. J. Combin. Des. 13 (2005) 239-267
    • (2005) J. Combin. Des. , vol.13 , pp. 239-267
    • Abel, R.J.R.1    Bennett, F.E.2
  • 2
    • 4243058198 scopus 로고    scopus 로고
    • Directed-ordered whist tournaments and ( v, 5, 1 ) difference families: existence results and some new classes of Z-cyclic solutions
    • Abel R.J.R., Costa S., and Finizio N.J. Directed-ordered whist tournaments and ( v, 5, 1 ) difference families: existence results and some new classes of Z-cyclic solutions. Discrete Appl. Math. 143 (2004) 43-53
    • (2004) Discrete Appl. Math. , vol.143 , pp. 43-53
    • Abel, R.J.R.1    Costa, S.2    Finizio, N.J.3
  • 3
    • 0242617469 scopus 로고    scopus 로고
    • Pitch tournament designs and other BIBDs-existence results for the case v = 8 n + 1
    • Abel R.J.R., Finizio N.J., Greig M., and Lewis S.J. Pitch tournament designs and other BIBDs-existence results for the case v = 8 n + 1. Congr. Numer. 138 (1999) 175-192
    • (1999) Congr. Numer. , vol.138 , pp. 175-192
    • Abel, R.J.R.1    Finizio, N.J.2    Greig, M.3    Lewis, S.J.4
  • 4
    • 22644444309 scopus 로고    scopus 로고
    • Some difference matrix constructions and an almost completion for the existence of triplewhist tournaments TWh ( v )
    • Abel R.J.R., and Ge G. Some difference matrix constructions and an almost completion for the existence of triplewhist tournaments TWh ( v ). European J. Combin. 26 (2005) 1094-1104
    • (2005) European J. Combin. , vol.26 , pp. 1094-1104
    • Abel, R.J.R.1    Ge, G.2
  • 6
    • 33646917696 scopus 로고    scopus 로고
    • I. Anderson, Some cyclic and 1-rotational designs, London Math. Soc. Lecture Note Ser. 288 (2001) 47-73.
  • 8
    • 0013198210 scopus 로고    scopus 로고
    • New families of Z-cyclic triplewhist tournaments
    • Attinger L., and Leonard P.A. New families of Z-cyclic triplewhist tournaments. Congr. Numer. 133 (1998) 163-169
    • (1998) Congr. Numer. , vol.133 , pp. 163-169
    • Attinger, L.1    Leonard, P.A.2
  • 9
    • 0010721246 scopus 로고
    • Whist tournaments
    • Baker R.D. Whist tournaments. Congr. Numer. 14 (1975) 89-100
    • (1975) Congr. Numer. , vol.14 , pp. 89-100
    • Baker, R.D.1
  • 10
    • 0001509094 scopus 로고    scopus 로고
    • Recursive constructions for difference matrices and relative difference families
    • Buratti M. Recursive constructions for difference matrices and relative difference families. J. Combin. Des. 6 (1998) 165-182
    • (1998) J. Combin. Des. , vol.6 , pp. 165-182
    • Buratti, M.1
  • 11
    • 0013196097 scopus 로고    scopus 로고
    • Existence of Z-cyclic triplewhist tournaments for a prime number of players
    • Buratti M. Existence of Z-cyclic triplewhist tournaments for a prime number of players. J. Combin. Theory Ser. A 90 (2000) 315-325
    • (2000) J. Combin. Theory Ser. A , vol.90 , pp. 315-325
    • Buratti, M.1
  • 12
    • 33646937943 scopus 로고    scopus 로고
    • C.J. Colbourn, J.H. Dinitz (Eds.), The CRC Handbook of Combinatorial Designs, CRC Press, Boca Raton, FL, 1996.
  • 13
    • 13244284689 scopus 로고    scopus 로고
    • Two new classes of Z-cyclic triplewhist designs
    • Costa S., and Finizio N.J. Two new classes of Z-cyclic triplewhist designs. Utilitas Math. 66 (2004) 211-220
    • (2004) Utilitas Math. , vol.66 , pp. 211-220
    • Costa, S.1    Finizio, N.J.2
  • 14
    • 0000648914 scopus 로고
    • Partial λ-geometries and generalized Hadamard matrices over groups
    • Drake D.A. Partial λ-geometries and generalized Hadamard matrices over groups. Canad. J. Math. 31 (1979) 617-627
    • (1979) Canad. J. Math. , vol.31 , pp. 617-627
    • Drake, D.A.1
  • 15
    • 33646930586 scopus 로고    scopus 로고
    • A.B. Evans, On orthogonal orthomorphisms of cyclic and non-abelian groups II, preprint.
  • 17
    • 11544264958 scopus 로고
    • Several infinite classes of Z-cyclic ( v, 4, 1 )-resolvable perfect Mendelsohn designs, v ≡ 1 ( mod 4 )
    • Finizio N.J. Several infinite classes of Z-cyclic ( v, 4, 1 )-resolvable perfect Mendelsohn designs, v ≡ 1 ( mod 4 ). Utilitas Math. 45 (1994) 103-114
    • (1994) Utilitas Math. , vol.45 , pp. 103-114
    • Finizio, N.J.1
  • 18
    • 1342265862 scopus 로고    scopus 로고
    • One frame and several new infinite families of Z-cyclic whist designs
    • Finizio N.J. One frame and several new infinite families of Z-cyclic whist designs. Discrete Math. 279 (2004) 203-213
    • (2004) Discrete Math. , vol.279 , pp. 203-213
    • Finizio, N.J.1
  • 20
    • 0242551012 scopus 로고    scopus 로고
    • Uniform frames with block size four and index one or three
    • Ge G. Uniform frames with block size four and index one or three. J. Combin. Des. 9 (2001) 28-39
    • (2001) J. Combin. Des. , vol.9 , pp. 28-39
    • Ge, G.1
  • 21
    • 26444565310 scopus 로고    scopus 로고
    • On ( g, 4 ; 1 )-difference matrices
    • Ge G. On ( g, 4 ; 1 )-difference matrices. Discrete Math. 301 (2005) 164-174
    • (2005) Discrete Math. , vol.301 , pp. 164-174
    • Ge, G.1
  • 22
    • 0037273520 scopus 로고    scopus 로고
    • Some new triplewhist tournaments TWh ( v )
    • Ge G., and Lam C.W.H. Some new triplewhist tournaments TWh ( v ). J. Combin. Theory Ser. A 101 (2003) 153-159
    • (2003) J. Combin. Theory Ser. A , vol.101 , pp. 153-159
    • Ge, G.1    Lam, C.W.H.2
  • 23
    • 0141998087 scopus 로고    scopus 로고
    • A new construction for Z-cyclic whist tournaments
    • Ge G., and Ling A.C.H. A new construction for Z-cyclic whist tournaments. Discrete Appl. Math. 131 (2003) 643-650
    • (2003) Discrete Appl. Math. , vol.131 , pp. 643-650
    • Ge, G.1    Ling, A.C.H.2
  • 24
    • 0013260812 scopus 로고    scopus 로고
    • Frame constructions for Z-cyclic triplewhist tournaments
    • Ge G., and Zhu L. Frame constructions for Z-cyclic triplewhist tournaments. Bull. Inst. Combin. Appl. 32 (2001) 53-62
    • (2001) Bull. Inst. Combin. Appl. , vol.32 , pp. 53-62
    • Ge, G.1    Zhu, L.2
  • 25
    • 26444547145 scopus 로고    scopus 로고
    • No 17-player triplewhist has nontrivial automorphisms
    • Haanpää H. No 17-player triplewhist has nontrivial automorphisms. J. Combin. Des. 13 (2005) 345-348
    • (2005) J. Combin. Des. , vol.13 , pp. 345-348
    • Haanpää, H.1
  • 26
    • 33646947513 scopus 로고    scopus 로고
    • Y. Lu, Triplewhist tournaments, unpublished manuscript.
  • 27
    • 0001163683 scopus 로고
    • Tactical memoranda I-III
    • Moore E.H. Tactical memoranda I-III. Amer. J. Math. 18 (1896) 264-303
    • (1896) Amer. J. Math. , vol.18 , pp. 264-303
    • Moore, E.H.1
  • 28
    • 0000929838 scopus 로고
    • Frames with block size four
    • Rees R.S., and Stinson D.R. Frames with block size four. Canad. J. Math. 44 (1992) 1030-1049
    • (1992) Canad. J. Math. , vol.44 , pp. 1030-1049
    • Rees, R.S.1    Stinson, D.R.2
  • 29
    • 84968511087 scopus 로고
    • A theorem in finite projective geometry and some applications to number theory
    • Singer J. A theorem in finite projective geometry and some applications to number theory. Trans. Amer. Math. Soc. 43 (1938) 377-385
    • (1938) Trans. Amer. Math. Soc. , vol.43 , pp. 377-385
    • Singer, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.