English

Strongly Regular Graphs From Unions of Cyclotomic Classes

Combinatorics 2011-11-01 v3

Abstract

We give two constructions of strongly regular Cayley graphs on finite fields \Fq\F_q 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.

Keywords

Cite

@article{arxiv.1010.4107,
  title  = {Strongly Regular Graphs From Unions of Cyclotomic Classes},
  author = {Tao Feng and Qing Xiang},
  journal= {arXiv preprint arXiv:1010.4107},
  year   = {2011}
}

Comments

17 pages; to appear in J. Combin. Theory (B)

R2 v1 2026-06-21T16:31:18.815Z