Name
Abstract | ||
|---|---|---|
A Steiner 2-(v,3) trade is a pair (T\"1,T\"2) of disjoint partial Steiner triple systems, each on the same set of v points, such that each pair of points occurs in T\"1 if and only if it occurs in T\"2. A Steiner 2-(v,3) trade is called d-homogeneous if each point occurs in exactly d blocks of T\"1 (or T\"2). In this paper we construct minimal d-homogeneous Steiner 2-(v,3) trades of foundation v and volume dv/3 for sufficiently large values of v. (Specifically, v3(1.75d^2+3) if v is divisible by 3 and vd(4^d^/^3^+^1+1) otherwise.) |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.disc.2007.07.060 | Discrete Mathematics |
Keywords | Field | DocType |
homogeneous trades,steiner 2- trades,05b15,05b070,steiner 2- ( v,3 ) trades,combinatorial trades,steiner triple system | Discrete mathematics,Combinatorics,Disjoint sets,Homogeneous,Mathematics,Steiner system | Journal |
Volume | Issue | ISSN |
308 | 5-6 | Discrete Mathematics |
Citations | PageRank | References |
2 | 0.58 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Nicholas J. Cavenagh | 1 | 92 | 20.89 |
| Diane M. Donovan | 2 | 6 | 2.93 |
| Emine Şule Yazıcı | 3 | 25 | 7.25 |