کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4647026 | 1342322 | 2015 | 5 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Large sets of resolvable Mendelsohn triple systems of prime power sizes
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A large set of Mendelsohn triple systems of order v is a partition of all cyclic triples on a v-element set into pairwise disjoint Mendelsohn triple systems of order v. This note addresses questions related to the construction of large sets of Mendelsohn triple systems with resolvable property (each block set having a partition into parallel classes). An improved recursive method is established and a number of new infinite series large sets of prime power sizes are settled by recursion, in combination with already known small cases. To be specific, for all prime powers q<400 and qâ¡1(mod 3), large sets of resolvable Mendelsohn triple systems of order qn+2 are proved to exist for any positive integer n, possibly except for q=379,397.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 338, Issue 6, 6 June 2015, Pages 1017-1021
Journal: Discrete Mathematics - Volume 338, Issue 6, 6 June 2015, Pages 1017-1021
نویسندگان
Mingming Geng, Junling Zhou,