Lifting constructions of strongly regular Cayley graphs
نویسندگان
چکیده
Article history: Received 21 December 2012 Received in revised form 11 November 2013 Accepted 14 November 2013 Available online 12 December 2013 Communicated by Igor Shparlinski
منابع مشابه
Constructions of strongly regular Cayley graphs and skew Hadamard difference sets from cyclotomic classes
In this paper, we give a construction of strongly regular Cayley graphs and a construction of skew Hadamard difference sets. Both constructions are based on choosing cyclotomic classes in finite fields, and they generalize the constructions given by Feng and Xiang [10, 12]. Three infinite families of strongly regular graphs with new parameters are obtained. The main tools that we employed are i...
متن کاملConstructions of strongly regular Cayley graphs using index four Gauss sums
We give a construction of strongly regular Cayley graphs on finite fields Fq by using union of cyclotomic classes and index 4 Gauss sums. In particular, we obtain two infinite families of strongly regular graphs with new parameters.
متن کاملStrongly Regular Graphs from Union of Cyclotomic Classes
We give two constructions of strongly regular Cayley graphs on finite fields Fq by using union of cyclotomic classes and index 2 Gauss sums. In particular, we obtain twelve infinite families of strongly regular graphs with new parameters.
متن کاملCyclotomy, Gauss Sums, Difference Sets and Strongly Regular Cayley Graphs
We survey recent results on constructions of difference sets and strongly regular Cayley graphs by using union of cyclotomic classes of finite fields. Several open problems are raised.
متن کاملStrongly regular Cayley graphs over primary abelian groups of rank 2
Strongly regular Cayley graphs with Paley parameters over abelian groups of rank 2 were studied in [5] and [12]. It was shown that such graphs exist iff the corresponding group is isomorphic to Zpn ⊕Zpn , where p is an odd prime. In this paper we classify all strongly regular Cayley graphs over this group using Schur rings method. As a consequence we obtain a complete classification of strongly...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Finite Fields and Their Applications
دوره 26 شماره
صفحات -
تاریخ انتشار 2014