کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5776873 1413644 2017 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Large butterfly Cayley graphs and digraphs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Large butterfly Cayley graphs and digraphs
چکیده انگلیسی
We present families of large undirected and directed Cayley graphs whose construction is related to butterfly networks. One approach yields, for every large k and for values of d taken from a large interval, the largest known Cayley graphs and digraphs of diameter k and degree d. Another method yields, for sufficiently large k and infinitely many values of d, Cayley graphs and digraphs of diameter k and degree d whose order is exponentially larger in k than any previously constructed. In the directed case, these are within a linear factor in k of the Moore bound.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 340, Issue 10, October 2017, Pages 2432-2436
نویسندگان
,