论文信息 - Balanced tournament designs and resolvable (upsilon, 3, 2)-bibds

Balanced tournament designs and resolvable (upsilon, 3, 2)-bibds

Abstract In this paper, we present new constructions for resolvable and near resolvable ( v ,3,2)- BIBDs. These constructions use balanced tournament designs and odd balanced tournament designs. We then use balanced tournament designs with almost orthogonal resolutions and odd balanced tournament designs with orthogonal resolutions to generalize these constructions and produce doubly resolvable and doubly near resolvable (υ, 3, 2)-BIBDs.

Scott A. Vanstone | Esther R. Lamken | S. Vanstone | E. Lamken

[1] Alan Hartman,et al. Resolvable group divisible designs with block size 3 , 1989, Discret. Math..

[2] Scott A. Vanstone,et al. On Mutually Orthogonal Resolutions and Near-Resolutions , 1982 .

[3] Scott A. Vanstone,et al. Orthogonal resolutions in odd balanced tournament designs , 1988, Graphs Comb..

[4] Alexander Rosa,et al. On the Existence of Strong Kirkman Cubes of Order 39 and Block Size 3 , 1985 .

[5] Scott A. Vanstone,et al. The existence of a class of Kirkman squares of index 2 , 1988, Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics.

[6] S. A. VANSTONE,et al. Doubly resolvable designs , 1980, Discret. Math..

[7] Haim Hanani,et al. On Resolvable Balanced Incomplete Block Designs , 1974, J. Comb. Theory, Ser. A.

[8] Scott A. Vanstone,et al. Balanced tournament designs with almost orthogonal resolutions , 1990 .