کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9505826 | 1340347 | 2005 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The Kauffman brackets for equivalence classes of links
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
It is well known that there is a one-to-one correspondence between link diagrams and signed plane graphs. In this paper, we define an equivalence relation on the set of link diagrams according to the reductions of their corresponding signed plane graphs. For all members of each equivalence class (with infinite number of members), we can compute their Kauffman bracket polynomials in a unified way. As an example, we deal with the links whose reductions of their corresponding signed plane graphs have small cyclomatic numbers. Furthermore, applying computer algebra (MAPLE) techniques, we calculate the Kauffman bracket polynomials of a set of links in a specified equivalence class.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Applied Mathematics - Volume 34, Issue 1, January 2005, Pages 47-64
Journal: Advances in Applied Mathematics - Volume 34, Issue 1, January 2005, Pages 47-64
نویسندگان
Xian'an Jin, Fuji Zhang,