On Some Polynomials Of The Chemical Nanotubes

Abstract

In the thesis we have calculated toplogical indices of some Carbon and Boron nan otubes. We have formulated for Omega and Counting polynomials of these nanotubes very firstly in literature. The counting polynomials are valuable in forecasting of dif ferent structures. It also helps to describe its topological indices by virtue of quasi orthogonal cuts of the edge strips in the polycyclic graphs. In this thesis we have given a complete description of the Omega and the Sadhana polynomial of the nan otube TUC4[p,q] and provide its mathematical proof. We also give explicit formulae for the PI and the theta polynomial of TUC4[p,q] nanotubes. We have also given a brief note on different types of the Zagreb indices of the nanotubes TUC4[p,q] and TUC5C6C8[p,q]. In QSAR/QSPR study, the topological indices are being utilized for envisioning the biological and physical properties of compunds. These indices are very important in mathematical chemistry as well. These topological indices have many applications of statistical tools in chemical reactivity, physical properties and biological activities. In this thesis we have exactly computed the Zagreb indices, GA index, the randic index and the ABC index of the TUC5C8 nanotubes. In mathe matical chemistry, a topological index is computed using structure of the molecular graph and is a numerical parameter which describe its topology. Using combinato rial techniques we also provide explicit formulae of the different types of the Zagreb indices, GA index, the Randic index and ABC index of the zigzag boron triangular nanotubes BNT[p,q] and armchair boron triangular nanotubes