  In this paper, four novel topological indices named as neighbourhood version
of forgotten topological index (F_N), modified neighbourhood version of
Forgotten topological index ($F_N^*$), neighbourhood version of second Zagreb
index ($M_2^*$)and neighbourhood version of hyper Zagreb index ($HM_N$) are
introduced. Here the relatively study depends on the structure-property
regression analysis is made to test and compute the chemical applicability of
these indices for the prediction of physicochemical properties of octane
isomers. Also it is shown that these newly presented indices have well
degeneracy property in comparison with other degree based topological indices.
Some mathematical properties of these indices are also discussed here.
