The Minimal Total Irregularity of Graphs

Yingxue Zhu, Lihua You, Jieshan Yang

In \cite{2012a}, Abdo and Dimitov defined the total irregularity of a graph $G=(V,E)$ as \hskip3.3cm $\mathrm{ir}{\mathrm{r}}_{\mathrm{t}}$$(G)=\frac{1}{2}{\sum }_{u,v\in V}|d_G(u)-d_G(v)|,$ \noindent…