Abelian Ramanujan Graphs

Chen Kejun1,2
1 Department of Mathematics, Suzhou University Suzhou 215006, China
2Department of Mathematics, Yancheng Teachers College, Jiangsu 224002, China

Abstract

Some special sum graphs and difference graphs, based on abelian groups, are discussed. In addition to Li’s result on character sum estimates, Weil’s character sum estimates are also used to show that these are indeed Ramanujan graphs.