Pairwise additive 1-rotational BIB designs with λ=1
نویسندگان
چکیده
The existence of pairwise additive balanced incomplete block (BIB) designs and pairwise additive cyclic BIB designs with λ = 1 has been discussed through direct and recursive constructions in the literature. This paper takes BIB designs with 1-rotational automorphisms and then the existence of pairwise additive 1-rotational BIB designs is investigated for λ = 1. Finally, it is shown that there exists a 2-pairwise additive 1rotational BIB design with parameters v, k and λ = 1 if and only if any v ≥ 4 and k = 2.
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عنوان ژورنال:
- Australasian J. Combinatorics
دوره 68 شماره
صفحات -
تاریخ انتشار 2017