Published Paper Details:

The primary aim of this article is to introduce the Zagreba Vector Index for the chemical graphs. Here in this research article, the topological indices were partially replaced by the new approach, Vector index for graphs. The vector index is named as Zagreb vector index, and used to study the physical properties of various chemical compounds (alkanes), their structures, the correlativity with the Vector-Index. In determining the Vector index, I have used total degree of the vertex (du), as the first component of the vector along with two more components to create a vector index. In the vector index of an atom, there will be three components, the first component of the vector is it's total degree du, second component is number of similar atoms adjacent to it d1u and the third component is number of heterogeneous atoms adjacent to it d2u. After a thorough investigate, the Vector index found to be a useful tool in predicting the physical properties of lower alkanes.