کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4648335 1342407 2012 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Latin directed triple systems
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Latin directed triple systems
چکیده انگلیسی

It is well known that, given a Steiner triple system, a quasigroup can be formed by defining an operation ⋅⋅ by the identities x⋅x=xx⋅x=x and x⋅y=zx⋅y=z, where zz is the third point in the block containing the pair {x,y}{x,y}. The same is true for a Mendelsohn triple system, where the pair (x,y)(x,y) is considered to be ordered. But it is not true in general for directed triple systems. However, directed triple systems which form quasigroups under this operation do exist. We call these Latin directed triple systems, and in this paper we begin the study of their existence and properties.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 312, Issue 3, 6 February 2012, Pages 597–607
نویسندگان
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