NEW VERTEX-EDGE SOMBOR, NIRMALA AND MISBALANCE INDICES

NEW VERTEX-EDGE SOMBOR, NIRMALA AND MISBALANCE INDICES

K. J. Gowtham

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Abstract

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 de ne new vertex-edge degree topological indices namely, the ve-degree Sombor index (SOve), the ve-degree Nirmala index (Nve), and the ve- degree Misbalance prodeg index (MPIve). The chemical applicability of those indices have been studied and found good correlation coe cient with di erent physical/chemical properties of octane isomers. Further, we found the values for the standard graphs and the bounds for SOve and Nve in terms of MPIve, M 0  ve(G), and Fve(G).

Keywords

vertex-edge degree; topological indices.