کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4649132 1632435 2010 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Group divisible designs with block size four and group type gum1gum1 where gg is a multiple of 8
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Group divisible designs with block size four and group type gum1gum1 where gg is a multiple of 8
چکیده انگلیسی

We determine, up to some possible exceptions, the spectrum for 4-GDDs of type gum1gum1, where gg is a multiple of 8 until 48, gg is a multiple of 24 until 144, respectively. These spectra are without exceptions for g=8g=8, 16, 24, 48, 72, 96, 120 and 144. Furthermore, we establish, up to a finite number of possible exceptions, the spectra for 4-GDDs of types 30um130um1 and 90um190um1. Finally, we provide nine {3, 5}-URDs which were the last possible exceptions in their classes.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 310, Issues 17–18, 28 September 2010, Pages 2258–2270
نویسندگان
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