کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4656341 | 1343432 | 2007 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Triplewhist tournaments with the three person property
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The necessary conditions for existence of a triplewhist tournament TWh(v) are . By the efforts of many authors through a century, these conditions are shown to be sufficient except for v=5,9,12,13 and possibly for v=17. A triplewhist tournament Wh(v) is said to have the three person property if any two games in the tournament do not have three common players. We briefly denote such a design as a 3PTWh(v). In this paper, we extend the known existence result for TWh(v)s and show that the necessary conditions for existence of a 3PTWh(v), namely, v⩾8 and , are also sufficient except for v=9,12,13 and possibly for v=17.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Combinatorial Theory, Series A - Volume 114, Issue 8, November 2007, Pages 1438-1455
Journal: Journal of Combinatorial Theory, Series A - Volume 114, Issue 8, November 2007, Pages 1438-1455