Some results on strongly regular graphs from unions of cyclotomic classes  

作　　者：LI ChengJu YUE Qin HU LiQin 

机构地区：[1]Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211100, China

出　　处：《Science China Mathematics》2012年第12期2613-2620,共8页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos.10971250 and 11171150)

摘　　要：In this paper, we construct some families of strongly regular graphs on finite fields by using unions of cyclotomic classes and index 2 Gauss sums. New infinite families of strongly regular graphs are found.In this paper, we construct some families of strongly regular graphs on finite fields by using unions of cyclotomic classes and index 2 Gauss sums. New infinite families of strongly regular graphs are found.

关 键 词：strongly regular graphs restricted eigenvalues index 2 Gauss sum cycloyomic classes 

分 类 号：O157.5[理学—数学] D412.67[理学—基础数学]