Non-regular graphs with minimal total irregularity

Hosam Abdo, Darko Dimitrov

The {\it total irregularity} of a simple undirected graph $G$ is defined as ${\mathrm{irr}}_t(G)=$ $\frac{1}{2}{\sum }_{u,v\in V(G)}$ $\left|d_G(u)-d_G(v)\right|$, where $d_G(u)$ denot…