multivariate extended adjacency degree based graphical index: mathematical and chemical significances

The multivariate extended adjacency graphical index, which helps to analyze the molecular structures and predict properties of compounds, is that specific cases for randomly chosen values of the non zero real numbers a, b and c, which are coincide with the vast majority of pre-defined graphical indices being considered. in this paper, we obtained the index value for some specific families of graphs, bounds and characterization in terms of order, size, minimum and maximum degree. also, we present the chemical applicability for some linear molecular graphs for the above said graphical index.