The molecular structure of a compound contains all the information which would help to determine its chemical, biological, and physical properties. With the help of a theoretical descriptor tool known as topological indices, one can assess these properties. In this paper, we define new vertex -edge degree topological indices namely, the ve-degree Sombor index (SOve), the ve-degree Nirmala index (N-ve), and the vedegree Misbalance prodeg index (MPI(ve)e). The chemical applicability of those indices have been studied and found good correlation coefficient with different physical/chemical properties of octane isomers. Further, we found the values for the standard graphs and the bounds for SOve and N-ve in terms of MPIve, M0 beta(ve)(G), and F-ve(G).