Abstract

A graph is said to be regular if all its vertices have the same degree, otherwise, it is irregular. Irregularity indices are usually used for quantitative characterization of the topological structure of nonregular graphs. In numerous applications and problems in material engineering and chemistry, it is useful to be aware that how irregular a molecular structure is. Furthermore, evaluations of the irregularity of underline molecular graphs could be valuable for QSAR/QSPR studies, and for the expressive determines of chemical and physical properties, such as enthalpy of vaporization, toxicity, resistance, entropy, melting, and boiling points. In this paper, we find some irregularity measures of nanotubes. We compute 16 irregularities of TUC4 and TUAC6 nanotubes. We also compare the computed irregularities by plotting our results using software Mathematica.

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