منابع مشابه
Halving block designs with block size four
B) is said to have the Size Four property if the blocks in B can be partitioned into two isomorphic sets. In this paper we construct block with four with the property, thus the exception of 6 A. Rosa [4]).
متن کاملFrames with Block Size Four
We investigate the spectrum for frames with block size four, and discuss several applications to the construction of other combinatorial designs. Our main result is that a frame of type hu, having blocks of size four, exists if and only if u ≥ 5, h ≡ 0 mod 3 and h(u − 1) ≡ 0 mod 4, except possibly where (i) h = 9 and u ∈ {13, 17, 29, 33, 93, 113, 133, 153, 173, 193}; (ii) h ≡ 0 mod 12 and u ∈ {...
متن کاملBalanced sampling plans with block size four excluding contiguous units
Constructions of balanced sampling plans excluding contiguous units, a class of designs introduced by Hedayat, Rao and Stufken, are given which provide a complete solution to this problem when k = 4.
متن کاملGeneralized Balanced Tournament Designs with Block Size Four
In this paper, we remove the outstanding values m for which the existence of a GBTD(4,m) has not been decided previously. This leads to a complete solution to the existence problem regarding GBTD(4,m)s.
متن کاملBalanced sampling plans with block size four excludingcontiguous
Constructions of balanced sampling plans excluding contiguous units, a class of designs introduced by Hedayat, Rao and Stufken, are given which provide a complete solution to this problem when k = 4.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2004
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(03)00273-5