On ve-Degree and ev-Degree Zagreb Indices of Titania Nanotubes

Titania nanotubes are among the most investigated nanomaterials relating to their common applications in the manufacturing of corrosion-resistant, gas sensing and catalytic molecules. Topological indices which are graph invariants derived from molecular graphs of molecules are used in QSPR researches for modelling physicochemical properties of molecules. Topological indices are important tools for determining the underlying topology of a molecule in view of theoretical chemistry. Most of the topological indices are defined by using classical degree concept of graph theory. Recently two novel degree concepts have been defined in graph theory: ve-degrees and ev-degrees. By using both novel graph invariants, as parallel to their classical degree versions, the ev-degree Zagreb index, the ve-degree Zagreb indices and the ve-degree Randi？ index have been defined very recently. In this study the ev-degree Zagreb index, the ve-degree Zagreb indices and the ve-degree Randi？ index of titania nanotubes were computed.