4-Cycle Group-Divisible Designs with Two Associate Classes

  • Authors:
  • H. L. Fu;C. A. Rodger

  • Affiliations:
  • Department of Applied Mathematics, National Chiao Tung University, Hsin Chu, Taiwan, Republic of China (e-mail: hlfu@math.nctu.edu.tw);Department of Discrete and Statistical Sciences, 120 Math Annex, Auburn University, Alabama 36849-5307, USA (e-mail: rodgec1@mail.auburn.edu)

  • Venue:
  • Combinatorics, Probability and Computing
  • Year:
  • 2001

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Abstract

In this paper we investigate a partitioning problem, setting the existence problem for all group-divisible designs with first and second associates in which the blocks are 4-cycles.