منابع مشابه
On arcs in path designs of block size four
For each admissible v, we exhibit a path design P (v, 4, 1) with a spanning set of minimum cardinality and a P (v, 4, 1) with a scattering set of maximum
متن کاملHalving 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 کاملOn Bhaskar Rao designs of block size four
We show that Bhaskar Rao designs of type BRD(v, b, r, 4, 6) exist for v = 0,1 (mod 5) and of type BRD (v, b, r, 4,12) exist for all v ≥ 4. Disciplines Physical Sciences and Mathematics Publication Details de Launey, W and Seberry, J, On Bhaskar Rao designs of block size four, Combinatorics and Applications, Proceedings of the Seminar on Combinatorics and its Applications in honour of Professor ...
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 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...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1997
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(96)00340-8