FIG. 1: Positions of the two gluons corresponding to the graviton for (a) 1 < l < i , (b) i < l ≤ N and (c) the expression independent of helicity configuration. on amplitudes with one and two gravitons in addition to N gluons. Here two gluons take negative helicity and other legs take positive helicity. In Subsection IV C, we extend the dis- cussions to arbitrary tree amplitudes where N gluons are minimally coupled to M gravitons. Two gluons take negative helicity and the other N + M − 2 legs take positive helicity. We then extend the D$_{2}$ relations for amplitudes with one graviton in addition to N gluons to relations independent of the helicity configurations. We suggest D$_{2}$ relations should hold for any helicity configurations. The D$_{2}$ relation for a given amplitude is not unique. Different relations can be related by relations among partial amplitudes of gauge field. 12