کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4648997 1632436 2010 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On overlarge sets of Kirkman triple systems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
On overlarge sets of Kirkman triple systems
چکیده انگلیسی

The determination of the existence of large sets of Kirkman triple systems (LKTSLKTS) is a classical combinatorial problem. In this paper we introduce a new concept OLGKSOLGKS—overlarge sets of generalized Kirkman triple systems and show the relationship between the new concept and overlarge sets of Kirkman triple systems (OLKTS(v)OLKTS(v)). Further, some recursive constructions for OLGKSOLGKS are given, and some new existence results of OLKTS(v)OLKTS(v) with a special properties are obtained, which plays an important role in the discussion of large sets of Kirkman triple systems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 310, Issues 15–16, 28 August 2010, Pages 2119–2125
نویسندگان
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