Dog-Eater is a slur used to describe Asians in a derogatory way. They have been known to eat dogs; as seen on "Faces of Death" Volumes 1-6.
The word Dog-Eater is a racial slur that has been used historically to degrade and dehumanize asians. The word is still used by some people for this purpose, and it is seen as offensive and hurtful to asians. If you are unsure about whether or not it is appropriate to use the word Dog-Eater, it is best to err on the side of caution and avoid using it in any situation.