کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4653790 1632789 2013 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Strongly regular Cayley graphs, skew Hadamard difference sets, and rationality of relative Gauss sums
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Strongly regular Cayley graphs, skew Hadamard difference sets, and rationality of relative Gauss sums
چکیده انگلیسی
In this paper, we give constructions of strongly regular Cayley graphs and skew Hadamard difference sets. Both constructions are based on choosing cyclotomic classes in finite fields. Our results generalize ten of the eleven sporadic examples of cyclotomic strongly regular graphs given by Schmidt and White (2002) [23] and several subfield examples into infinite families. These infinite families of strongly regular graphs have new parameters. The main tools that we employed are relative Gauss sums instead of explicit evaluations of Gauss sums.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Combinatorics - Volume 34, Issue 4, May 2013, Pages 706-723
نویسندگان
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