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Constructions of Strongly Regular Cayley Graphs using Even Index Gauss Sums

Combinatorics 2012-08-07 v1

Abstract

In this paper, generalizing the result in \cite{GXY}, we construct strongly regular Cayley graphs by using union of cyclotomic classes of \Fq\F_q and Gauss sums of index ww, where w2w\geq 2 is even. In particular, we obtain three infinite families of strongly regular graphs with new parameters.

Keywords

Cite

@article{arxiv.1208.0971,
  title  = {Constructions of Strongly Regular Cayley Graphs using Even Index Gauss Sums},
  author = {Fan Wu},
  journal= {arXiv preprint arXiv:1208.0971},
  year   = {2012}
}

Comments

14 pages

R2 v1 2026-06-21T21:46:23.451Z