multireference quantum chemical methods[@24] have shown a weak binding for TM adatom on graphene. It is consistent with the transmission electron microscopy experiments[@25; @26; @27] that TM adatoms are fast surface diffuser on graphene. Porter et al.[@28] indicated that clustering of the TM adatoms is energetically favorable for TM on graphene sheet. Therefore, it is difficult to obtain stable magnetic order by TM absorbed on graphene. Different from the case of TM adsorbed on graphene, the existence of additional $\emph{p}_x$-$\emph{p}_y$$\pi$/$\pi^{\ast}$ state of the *sp* hybridized carbon in GY makes it strongly bind to TM adatoms and easily trap the TM adatoms in the alkyne rings of GY.[@19] Compared with the cluster effect of TM adatoms on graphene, dispersed adsorption of the TM adatoms on GY is energetically favor. It is well known that the long-range characteristics of the indirectly exchange coupling between magnetic adatoms mediated by hosts material play a significant role in determining the magnetic order of TM on real materials. For example, between two magnetic impurity in graphene follows Ruderman-Kittel-Kasuya-Yoshida (RKKY) exchange coupling, which derived from the semi-metallic nature of graphene.[@20; @21; @22] To open the way for TM-GY applying in spintronics, it is essential to understand the 