کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4651307 | 1342533 | 2006 | 34 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On non-symmetric commutative association schemes with exactly one pair of non-symmetric relations
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On non-symmetric commutative association schemes with exactly one pair of non-symmetric relations On non-symmetric commutative association schemes with exactly one pair of non-symmetric relations](/preview/png/4651307.png)
چکیده انگلیسی
For a given non-symmetric commutative association scheme, by fusing all the non-symmetric relations pairwise with their symmetric counterparts, we can obtain a new symmetric association scheme. In this paper, we introduce a set of feasibility and realizability conditions for a class e symmetric association scheme to be split into a class e+1e+1 non-symmetric commutative association scheme. By applying the feasibility and realizability conditions, we obtain a classification into six categories of the class 4 non-symmetric fission schemes of group-divisible 3-schemes. Complete solutions for three of the six categories and partial results for the remaining cases are presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 306, Issue 24, 28 December 2006, Pages 3189–3222
Journal: Discrete Mathematics - Volume 306, Issue 24, 28 December 2006, Pages 3189–3222
نویسندگان
G.L. Chia, W.K. Kok,