# Inverting the Turán problem

#### Supplementary materials

inverse-turan_omitted.pdf contains the details of the classification of the extremal graphs for $\mathcal{E}_{P_3}(k)$ and $\mathcal{E}_{\{P_3,K_3\}}(k)$.

inverse-turan_check.sage is a Sage file which contains the code to run an exhaustive search to establish the base case for determining $\mathcal{E}_{P_3}(k)$. This search implements NAUTY. If you prefer, the same code is available in the Sage worksheet inverse-turan_check.sws.