Certain strongly regular Cayley graphs onF22(2s+1)from cyclotomy
نویسندگان
چکیده
منابع مشابه
Cyclotomy, 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 کاملCyclotomy and Strongly Regular Graphs
We consider strongly regular graphs defined on a finite field by taking the union of some cyclotomic classes as difference set. Several new examples are found.
متن کاملStrongly Regular Semi-Cayley Graphs
We consider strongly regular graphs r = (V, E) on an even number, say 2n, of vertices which admit an automorphism group G of order n which has two orbits on V. Such graphs will be called strongly regular semi-Cayley graphs. For instance, the Petersen graph, the Hoffman-Singleton graph, and the triangular graphs T(q) with q = 5 mod 8 provide examples which cannot be obtained as Cayley graphs. We...
متن کاملLifting constructions of strongly regular Cayley graphs
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
متن کاملStrongly regular graphs
Strongly regular graphs form an important class of graphs which lie somewhere between the highly structured and the apparently random. This chapter gives an introduction to these graphs with pointers to more detailed surveys of particular topics.
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2014
ISSN: 1071-5797
DOI: 10.1016/j.ffa.2013.10.006