Maximum ratio of (graph) irregularities

Stijn Cambie, Jionghua Chang

We estimate the maximum ratio between the $\ddot{I}{ƒ}_t$- and $\ddot{I}ƒ$-irregularity for graphs and trees of order $n$, which are respectively bounded by $\hat{I}˜(n^{5/2})$ and $n-2$. This answers a…