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  • 标题:An Algorithm for Constructing Symmetric ((r+1)v, kr, kλ) BIBDs from Affine Resolvable (v, b, r, k, λ) BIBDs
  • 本地全文:下载
  • 作者:Kazeem A. Osuolale ; Oluwaseun A. Otekunrin
  • 期刊名称:Annals. Computer Science Series
  • 印刷版ISSN:1583-7165
  • 电子版ISSN:2065-7471
  • 出版年度:2014
  • 卷号:12
  • 期号:2
  • 页码:49-60
  • 出版社:Mirton Publishing House, Timisoara
  • 摘要:This work deals with the construction of symmetric ((r+1)v, kr, kλ) BIBDs from affine resolvable (v, b, r, k, λ) BIBDs. A MATLAB program was written to construct resolution and parallel classes from ((4, 6, 3, 2, 1) and (9, 12, 4, 3, 1) affine resolvable designs. A technique was thereafter used, via the MATLAB program to obtain their corresponding incidence matrices which gave rise to symmetric ((r+1)v, kr, kλ) BIBDs. The two SBIBDs ((16, 6, 2) and (45, 12, 3) constructed obeyed the mathematical property of a symmetric matrix and this makes the technique employed in this research unique since the terminology SBIBD does not imply true mathematical symmetry
  • 关键词:Affine Resolvable BIBDs; MATLAB Program; Incidence Matrices; Symmetric BIBDs and Symmetric Matrix
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