Group divisible designs of four groups and block size five with configuration (1; 1; 1; 2)
نویسندگان
چکیده
منابع مشابه
Group divisible designs of three groups and block size five with configuration (1, 2, 2)
The subject matter for this paper is GDDs with three groups and block size five in which each block has configuration (1, 2, 2); that is, each block has exactly one point from one of the three groups and two points from each of the other two groups. We provide necessary and sufficient conditions of the existence of a GDD (n, 3, 5;λ1, λ2) with configuration (1, 2, 2). A highlight of this paper i...
متن کاملGroup Divisible Designs With Two Groups and Block Size Five With Fixed Block Configuration
We present constructions and results about GDDs with two groups and block size five in which each block has Configuration (s, t), that is, in which each block has exactly s points from one of the two groups and t points from the other. After some results for a general k, s and t, we consider the (2, 3) case for block size 5. We give new necessary conditions for this family of GDDs and give mini...
متن کاملGroup divisible designs with block size four and two groups
We give some constructions of new infinite families of group divisible designs, GDD(n, 2, 4; 1, 2), including one which uses the existence of Bhaskar Rao designs. We show the necessary conditions are sufficient for 3 n 8. For n= 10 there is one missing critical design. If 1> 2, then the necessary conditions are sufficient for n ≡ 4, 5, 8 (mod 12). For each of n=10, 15, 16, 17, 18, 19, and 20 we...
متن کاملModified group divisible designs with block size four
The existence of modiied group divisible designs with block size four is settled with a handful of possible exceptions.
متن کاملOdd and even group divisible designs with two groups and block size four
We show the necessary conditions are su6cient for the existence of GDD(n; 2; 4; 1, 2) with two groups and block size four in which every block intersects each group exactly twice (even GDD’s) or in which every block intersects each group in one or three points (odd GDD’s). We give a construction for near 3-resolvable triple systems TS(n; 3; 6) for every n¿ 4, and these are used to provide const...
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: Journal of Algebra Combinatorics Discrete Structures and Applications
سال: 2016
ISSN: 2148-838X
DOI: 10.13069/jacodesmath.70490