Table 1 Derivation of some neighborhood degree-based topological indices.
From: Predicting bone cancer drugs properties through topological indices and machine learning
Topological index | f(x, y) | Derivation from NM(G) |
|---|---|---|
\(M_1\) | \(x + y\) | \((D_x + D_y)(NM(G))|_{x=y=1}\) |
\(M_2\) | xy | \((D_x D_y)(NM(G))|_{x=y=1}\) |
FN | \(x^2 + y^2\) | \((D_x^2 + D_y^2)(NM(G))|_{x=y=1}\) |
\(M_2^{mm}\) | \(\dfrac{1}{xy}\) | \((S_x S_y)(NM(G))|_{x=y=1}\) |
\(ND_3\) | \(xy(x+y)\) | \(D_x D_y(D_x + D_y)(NM(G))|_{x=y=1}\) |
\(ND_5\) | \(x^2 + y^2 \over xy\) | \((D_x S_y + S_x D_y)(NM(G))|_{x=y=1}\) |
NH | \(\dfrac{2}{x+y}\) | \(2 S_x J(NM(G))|_{x=y=1}\) |
NI | \(\dfrac{xy}{x+y}\) | \(S_x J D_x D_y(NM(G))|_{x=y=1}\) |
