Characteristic study of irregularity measures of some Nanotubes

In many applications and problems in material engineering and chemistry, it is valuable to know how irregular a given molecular structure is? Furthermore, measures of the irregularity of underline molecular graphs could be helpful for QSAR/QSPR studies, and for the expressive determines of chemical and physical properties, such as toxicity, resistance, melting and boiling points. Here we think over the following three irregularity measures: the irregularity index by Albertson, the total irregularity and the variance of vertex degrees. Through the means of a graph structural analysis and derivation, we compute the above-mentioned irregularity measures of several molecular graphs of nanotubes.