کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4629643 1340583 2013 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Mathematical tools for the future: Graph Theory and graphicable algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Mathematical tools for the future: Graph Theory and graphicable algebras
چکیده انگلیسی
This study constitutes the continuation of innovative research in Discrete Mathematics introduced in earlier papers on algebras in general, regarding the use of graphs to study the particular case of graphicable algebras, which form a subset of evolution algebras. Evolution algebras are particularly interesting since they are intrinsically linked with other mathematical fields, such as group theory, stochastics processes, and dynamical systems, for instance. Our advances in this study are obtained by setting a natural correspondence between evolution algebras and direct graphs, in order to translate the general concepts of graphicable algebras: subalgebra, ideal, centralizer, normalizer…to the language of graphs. These translations will enable advances in the application of these algebras to various branches of Mathematics.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 11, 1 February 2013, Pages 6113-6125
نویسندگان
, , ,