Group divisible designs with block size four and group type gum1 for small g

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Group-Divisible Designs with Block Size Four and Group-Type gum1 with m as Large or as Small as Possible

We investigate the spectrum for {4}-GDDs of type g u m 1. We determine, for each admissible pair (g, u) (with some exceptions), the maximum and minimum values of m for which a {4}-GDD of type g u m 1 exists.

متن کامل

Group 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 کامل

Modified 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 کامل

Splitting group divisible designs with block size 2×4

The necessary conditions for the existence of a (2 × 4, λ)-splitting GDD of type g are gv ≥ 8, λg(v−1) ≡ 0 (mod 4), λg2v(v−1) ≡ 0 (mod 32). It is proved in this paper that these conditions are also sufficient except for λ ≡ 0 (mod 16) and (g, v) = (3, 3).

متن کامل

Concerning cyclic group divisible designs with block size three

We determine a necessary and sufficient condition for the existence of a cyclic {3}-GDD with a uniform group size 6n. This provides a fundamental class of ingredients for some recursive constructions which settle existence of k-rotational Steiner triple systems completely.

متن کامل

ذخیره 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/j.disc.2004.04.003