The 3-GDDs of type $g^3u^2$

Cilt: 3 Sayı: 3 9 Ağustos 2016
  • Charles J. Colbourn
  • Melissa S. Keranen
  • Donald L. Kreher
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The 3-GDDs of type $g^3u^2$

Öz

A 3-GDD of type ${g^3u^2}$ exists if and only if  $g$ and $u$ have the same parity, $3$ divides $u$ and $u\leq 3g$.Such a 3-GDD of type ${g^3u^2}$ is  equivalent to an edge  decomposition of $K_{g,g,g,u,u}$ into triangles.

Kaynakça

  1. D. Bryant, D. Horsley, Steiner triple systems with two disjoint subsystems, J. Combin. Des. 14(1) (2006) 14–24.
  2. C. J. Colbourn, Small group divisible designs with block size three, J. Combin. Math. Combin. Comput. 14 (1993) 153–171.
  3. C. J. Colbourn, C. A. Cusack, D. L. Kreher, Partial Steiner triple systems with equal-sized holes, J. Combin. Theory Ser. A 70(1) (1995) 56–65.
  4. C. J. Colbourn, J. H. Dinitz (Eds.), Handbook of Combinatorial Designs, Second Edition, CRC/Chapman and Hall, Boca Raton, FL, 2007.
  5. C. J. Colbourn, D. Hoffman, R. Rees, A new class of group divisible designs with block size three, J. Combin. Theory Ser. A 59(1) (1992) 73–89.
  6. C. J. Colbourn, M. A. Oravas, R. S. Rees, Steiner triple systems with disjoint or intersecting subsystems, J. Combin. Des. 8(1) (2000) 58–77.
  7. R. Rees, Uniformly resolvable pairwise balanced designs with blocksizes two and three, J. Combin. Theory Ser. A 45(2) (1987) 207-225.
  8. R. M. Wilson, An existence theory for pairwise balanced designs. I. Composition theorems and morphisms, J. Combinatorial Theory Ser. A 13 (1972) 220–245.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

-

Yazarlar

Charles J. Colbourn Bu kişi benim

Melissa S. Keranen Bu kişi benim

Donald L. Kreher Bu kişi benim

Yayımlanma Tarihi

9 Ağustos 2016

Gönderilme Tarihi

8 Ağustos 2016

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2016 Cilt: 3 Sayı: 3

Kaynak Göster

APA
Colbourn, C. J., Keranen, M. S., & Kreher, D. L. (2016). The 3-GDDs of type $g^3u^2$. Journal of Algebra Combinatorics Discrete Structures and Applications, 3(3), 135-144. https://doi.org/10.13069/jacodesmath.52790
AMA
1.Colbourn CJ, Keranen MS, Kreher DL. The 3-GDDs of type $g^3u^2$. Journal of Algebra Combinatorics Discrete Structures and Applications. 2016;3(3):135-144. doi:10.13069/jacodesmath.52790
Chicago
Colbourn, Charles J., Melissa S. Keranen, ve Donald L. Kreher. 2016. “The 3-GDDs of type $g^3u^2$”. Journal of Algebra Combinatorics Discrete Structures and Applications 3 (3): 135-44. https://doi.org/10.13069/jacodesmath.52790.
EndNote
Colbourn CJ, Keranen MS, Kreher DL (01 Ağustos 2016) The 3-GDDs of type $g^3u^2$. Journal of Algebra Combinatorics Discrete Structures and Applications 3 3 135–144.
IEEE
[1]C. J. Colbourn, M. S. Keranen, ve D. L. Kreher, “The 3-GDDs of type $g^3u^2$”, Journal of Algebra Combinatorics Discrete Structures and Applications, c. 3, sy 3, ss. 135–144, Ağu. 2016, doi: 10.13069/jacodesmath.52790.
ISNAD
Colbourn, Charles J. - Keranen, Melissa S. - Kreher, Donald L. “The 3-GDDs of type $g^3u^2$”. Journal of Algebra Combinatorics Discrete Structures and Applications 3/3 (01 Ağustos 2016): 135-144. https://doi.org/10.13069/jacodesmath.52790.
JAMA
1.Colbourn CJ, Keranen MS, Kreher DL. The 3-GDDs of type $g^3u^2$. Journal of Algebra Combinatorics Discrete Structures and Applications. 2016;3:135–144.
MLA
Colbourn, Charles J., vd. “The 3-GDDs of type $g^3u^2$”. Journal of Algebra Combinatorics Discrete Structures and Applications, c. 3, sy 3, Ağustos 2016, ss. 135-44, doi:10.13069/jacodesmath.52790.
Vancouver
1.Charles J. Colbourn, Melissa S. Keranen, Donald L. Kreher. The 3-GDDs of type $g^3u^2$. Journal of Algebra Combinatorics Discrete Structures and Applications. 01 Ağustos 2016;3(3):135-44. doi:10.13069/jacodesmath.52790