way, the second line of (26) insert the other gluon corresponding to ( N + 2)$_{h}$ at positions between the gluon corresponding to ( N + 1)$_{h}$ and i , where this gluon corresponding to ( N + 1)$_{h}$ have been inserted at a position between l and i (See Fig. 2 (a)). Following a similar discussion, for the case of i < l ≤ N , we insert the two gluons corresponding to ( N + 1)$_{h}$ at positions between i , l and l , 1 respectively. Then insert one gluon corresponding to ( N + 2)$_{h}$ at the positions between i and the gluon corresponding to ( N + 1)$_{h}$ which is between i , l . Insert the other gluon corresponding to ( N + 2)$_{h}$ at the positions between the other gluon corresponding to ( N + 1)$_{h}$ and 1(See Fig. 2 (b)). The A part then satisfy the relation where for a given l , P$_{1}$ are the possible insertions of the gluons corresponding to the two gravitons. These insertions has the form 1, ..., N + 2, ..., N + 1,..., l , ..., N + 1, ..., N + 2, ..., i , ..., N for 1 < l < i and 1,..., i , ..., N + 2, ..., N + 1, ..., l , ..., N + 1, ..., N + 2, ... for i < l ≤ N . The B part can be derived from A part by the replacement N + 1 ↔ N + 2 and is given as where for a given l , P$_{2}$ are the possible insertions of the gluons corresponding to the two gravitons. These insertions has the form 1, ..., N + 1, ..., N + 2,..., l , ..., N + 2, ..., N + 1, ..., i , ..., N for 1 < l < i ( See Fig. 3 (a)) and 1,..., i , ..., N + 1, ..., N + 2, ..., l , ..., N + 2, ..., N + 1, ... for i < l ≤ N (See Fig. 3 (b)). Now we consider the C part. Both the second and the third lines in (25), can split into the forms of (18) and (19). Then for a given l , each term in the second line of the expression (25) insert the two gluons corresponding to ( N + 2)$_{h}$ at the positions between 1, l and l , i 18 B = ∑ l ∈{ g $^{+}$} s$_{l,N}$$_{+2}$s$_{N}$$_{+2}$$_{,N}$$_{+1}$ ∑ P$_{2}$ A N +4 $_{MHV}$( P$_{2}$ ) , (30) A = ∑ l ∈{ g $^{+}$} s$_{l,N}$$_{+1}$s$_{N}$$_{+1}$$_{,N}$$_{+2}$ ∑ P$_{1}$ A N +4 $_{MHV}$( P$_{1}$ ) , (29)