Eigenvalues and energy of restricted unitary Cayley graphs induced from the square mapping
Yotsanan Meemark, Borworn Suntornpoch*
ABSTRACT: Let R be a finite commutative ring with unity 1≠0. The restricted unitary Cayley graph induced from the squared mapping is the graph whose vertex set is R and whose edge set is {{a,b}:a,b∈R and a−b∈TR}, where TR=KR(R×)2 and KR={a∈R×:a2=1}. We study the structure of our graph HR and determine its eigenvalues and energy.