The spectra of generalized Cayley graphs of finite abelian groups are investigated in this paper.For a generalized Cayley graph X of a finite group G,the canonical double covering of X is the direct product X×K_(...The spectra of generalized Cayley graphs of finite abelian groups are investigated in this paper.For a generalized Cayley graph X of a finite group G,the canonical double covering of X is the direct product X×K_(2).In this paper,integral generalized Cayley graphs on finite abelian groups are characterized,using the characterization of the spectra of integral Cayley graphs.As an application,the integral generalized Cayley graphs on Z_(p)×Z_(q) and Z2n are investigated,where p and q are odd prime numbers.展开更多
基金supported by the National Natural Science Foundation of China(No.12271311,12101410,12201414)Taishan Scholars Program of Shandong Province.
文摘The spectra of generalized Cayley graphs of finite abelian groups are investigated in this paper.For a generalized Cayley graph X of a finite group G,the canonical double covering of X is the direct product X×K_(2).In this paper,integral generalized Cayley graphs on finite abelian groups are characterized,using the characterization of the spectra of integral Cayley graphs.As an application,the integral generalized Cayley graphs on Z_(p)×Z_(q) and Z2n are investigated,where p and q are odd prime numbers.
