Magnetic transport behaviors of a zigzag-edge trigonal graphene (ZTG) constructed as a nanodevice with zigzag graphene nanoribbon (ZGNR) electrodes are investigated, and various magnetic configurations are considered. It is found that excellent magnetic device natures, such as the perfect (100%) spin polarization in a large bias region, spin-resolved rectification ratios approaching 105, and the giant magnetoresistance effect up to 1015%, can be achieved, which is indeed an extremely high value as compared with previously reported theoretical o...