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Constructions of Strongly Regular Cayley Graphs Using Even Index Gauss Sums
Author(s) -
Wu Fan
Publication year - 2013
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.21339
Subject(s) - mathematics , cayley graph , combinatorics , gauss , index (typography) , strongly regular graph , gauss sum , construct (python library) , association scheme , discrete mathematics , graph , pathwidth , line graph , physics , quantum mechanics , world wide web , computer science , programming language
In this paper, generalizing the result in [9], I construct strongly regular Cayley graphs by using union of cyclotomic classes of F q and Gauss sums of index w , where w ≥ 2 is even. In particular, we obtain three infinite families of strongly regular graphs with new parameters.