Intersection Problem for Simple 2-fold (3n, n, 3) Group Divisible Designs

Demirkale F., DONOVAN D., Lindner C. C.

GRAPHS AND COMBINATORICS, cilt.31, sa.3, ss.537-545, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 3
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s00373-013-1397-6
  • Dergi Adı: GRAPHS AND COMBINATORICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.537-545
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we will give intersection numbers for two simple 2-fold (3n, n, 3) group divisible designs. More precisely, we will develop constructions which show that there exists two simple 2-fold (3n, n, 3) group divisible designs which intersect in precisely triples for . There are some exceptions for n = 2, 3, 4.