کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4650640 | 1342497 | 2008 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Group divisible designs with block size four and two groups
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
We give some constructions of new infinite families of group divisible designs, GDD(n,2,4;λ1,λ2)(n,2,4;λ1,λ2), including one which uses the existence of Bhaskar Rao designs. We show the necessary conditions are sufficient for 3⩽n⩽83⩽n⩽8. For n=10n=10 there is one missing critical design. If λ1>λ2λ1>λ2, then the necessary conditions are sufficient for n≡4,5,8(mod12). For each of n=10,15,16,17,18,19n=10,15,16,17,18,19, and 20 we indicate a small minimal set of critical designs which, if they exist, would allow construction of all possible designs for that n. The indices of each of these designs are also among those critical indices for every n in the same congruence class mod 12.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 308, Issue 13, 6 July 2008, Pages 2663–2673
Journal: Discrete Mathematics - Volume 308, Issue 13, 6 July 2008, Pages 2663–2673
نویسندگان
Spencer P. Hurd, Dinesh G. Sarvate,