چکیده انگلیسی:
The bi-Cayley graph of a finite group $G$ with respect to a subset $Ssubseteq G$, which is denoted by $BCay(G,S)$, is the graph with vertex set $Gtimes{1,2}$ and edge set ${{(x,1), (sx,2)}mid xin G, sin S}$. A finite group $G$ is called a textit{bi-Cayley integral group} if for any subset $S$ of $G$, $BCay(G,S)$ is a graph with integer eigenvalues. In this paper we prove that a finite group $G$ is a bi-Cayley integral group if and only if $G$ is isomorphic to one of the groups $Bbb Z_2^k$, for some $k$, $Bbb Z_3$ or $S_3$.
خبرنامه
برای ثبت نام در خبرنامه و دریافت خبرنامه ایمیل خود را وارد نمایید.
