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Constructions of Strongly Regular Cayley Graphs Using Index Four Gauss Sums

Combinatorics 2012-04-03 v2

Abstract

We give a construction of strongly regular Cayley graphs on finite fields \Fq\F_q 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.

Keywords

Cite

@article{arxiv.1201.0702,
  title  = {Constructions of Strongly Regular Cayley Graphs Using Index Four Gauss Sums},
  author = {Gennian Ge and Qing Xiang and Tao Yuan},
  journal= {arXiv preprint arXiv:1201.0702},
  year   = {2012}
}

Comments

19 pages; to appear in Journal of Algebraic Combinatorics