Title
The Existence of FGDRP(3, gu)'s.
Abstract
By an FGDRP(3, gu), we mean a uniform frame (X, G, A) of block size 3, index 2 and type gu, where the blocks of A can be arranged into a gu/3 × gu array. This array has the properties: (1) the main diagonal consists of u empty subarrays of sizes g/3 × g; (2) the blocks in each column form a partial parallel class partitioning X\G for some G ∈ G, while the blocks in each row contain every element of X\G 3 times and no element of G for some G ∈ G. The obvious necessary conditions for the existence of an FGDRP(3, gu) are u ≥ 5 and g = 0 (mod 3). In this paper. we show that these conditions are also sufficient with the possible exceptions of (g, u) ∈ {(6, 15), (9, 18), (9, 28), (9, 34), (30, 15)}.
Year
DOI
Venue
2009
null
Electr. J. Comb.
Keywords
DocType
Volume
null
Journal
16
Issue
Citations 
PageRank 
1
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Jie Yan1283.42
Chengmin Wang2448.30