Graphs and Combinatorics

, Volume 4, Issue 1, pp 241–255

Orthogonal resolutions in odd balanced tournament designs

  • E. R. Lamken
  • S. A. Vanstone
Article

DOI: 10.1007/BF01864165

Cite this article as:
Lamken, E.R. & Vanstone, S.A. Graphs and Combinatorics (1988) 4: 241. doi:10.1007/BF01864165

Abstract

An odd balanced tournament design,OBTD(n), is ann × 2n + 1 array of pairs defined on a (2n + 1)-setV such that (1) every row of the array contains each element ofV twice, (2) every column of the array contains 2n distinct elements ofV, and (3) the pairs of the array form a (2n + 1, 2, 1)-BIBD. In this paper, we investigate the spectrum of odd balanced tournament designs with orthogonal resolutions. These designs can be used to construct doubly near resolvable (v, 3, 2)-BIBDs.

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • E. R. Lamken
    • 1
  • S. A. Vanstone
    • 1
  1. 1.Department of Combinatorics and OptimizationUniversity of WaterlooWaterlooCanada

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