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Ars Combinatoria

  • Research article

The Existence of Group Divisible Designs with First and Second Associates, Having Block Size \(3\)

H. L. Fu1, C. A. Rodger2, D. G. Sarvate3
1Department of Applied Mathematics National Chiao-Tung University Hsin-Chu, Taiwan Republic of China
2Department of Discrete and Statistical Sciences 120 Math Annex Auburn University, Alabama USA 36849-5307
3Department of Mathematics University of Charleston Charleston, SC 29424
  • Published: 31/01/2000

Abstract

We completely settle the existence problem for group divisible designs with first and second associates in which the block size is \(3\), and with \(m\) groups each of size \(n\), where \(n, m \geq 3\).

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Citation
H. L. Fu, C. A. Rodger, D. G. Sarvate. The Existence of Group Divisible Designs with First and Second Associates, Having Block Size \(3\)[J], Ars Combinatoria, Volume 054. 33-50. DOI: .