Triplewhist tournaments that are also Mendelsohn designs

Journal of Combinatorial Designs

Volumn 5, Issue 6, 1997, Pages 397-406

  Anderson, Ian ^a   Finizio, Norman J ^b  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

^b University of Rhode Island   (United States)

Author keywords

BIBD; Directedwhist tournaments; Resolvable perfect Mendelsohn designs; Triplewhist tournaments; Whist tournaments

Indexed keywords

EID: 0013201310     PISSN: 10638539     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1520-6610(1997)5:6<397::AID-JCD1>3.0.CO;2-A     Document Type: Article

References (17)

1. I. Anderson, Combinatorial designs, Ellis Horwood, 1990.
2. _, A hundred years of whist tournaments, J. Combin. Math. Combin. Comput. 19 (1995), 129-150.
3. I. Anderson, S. Cohen, and N. J. Finizio, An existence theorem for cyclic triplewhist tournaments, Discrete Math. 138 (1995), 31-41.
4. I. Anderson and N. J. Finizio, Cyclically resolvable designs and triplewhist tournaments, J. Combin. Designs 1 (1993), 347-358.
5. _, More cyclic triplewhist tournaments, J. Combin. Designs 3 (1995), 79-87,
6. R. D. Baker, Factorization of graphs, Doctoral thesis, Ohio State University, 1975.
7. F. E. Bennett and L. Zhu, "Conjugate orthogonal Latin Squares and related structures,○ Contemporary Design Theory, J. Dinitz and D. R. Stinson (Editors), Wiley, New York, 1992.
8. S. D. Cohen, Primitive roots and powers among values of polynomials over finite fields, J. Reine Angew. Math. 350 (1984), 137-151.
9. _, "Primitive elements and polynomials: existence results,○ Finite fields, coding theory and advances in communications and computing, G. L. Mullin and P.-J. S. Shiue (Editors), Marcel Dekker, 1993, pp. 43-55.
10. C. J. Colbourn and J. H. Dinitz (Editors), The CRC handbook of combinatorial designs. CRC Press, 1996.
11. N. J. Finizio, Whist tournaments - Three person property. Discrete Appl. Math.45 (1993), 125-137.
12. _, Z-cyclic triplewhist tournaments when the number of players involves primes of the form 8u + 5, J. Combin. Designs 2 (1994), 31-40.
13. D. Jungnickel, Finite fields: Structure and arithmetics, B. I. Wissenschaftverlag, Mannheim, 1993.
14. Y. S. Liaw, Construction of Z-cyclic tnplrwhist tournaments. J. Combin. Designs 4 (1996), 219-233.
15. G. McNay, Cohen's sieve with quadratic conditions, Utilitas Math. 49 (1996), 191 200.
16. E. H. Moore, Tactical memoranda I III. Amer. J. Math. 18 (1896), 264 303.
17. R. M. Wilson, An existence theory for pairwise balanced designs III, J. Combin. Theory A 18 (1975), 71 79.