Minimum-Excess $\{K_3,K_4\}$-Coverings of $K_{17}$, $K_{18}$, and $K_{19}$

Petr Kovář, Yifan Zhang

We determine the minimum-excess coverings of $K_{17}$, $K_{18}$, and $K_{19}$ by 3-cliques and 4-cliques, minimizing first the number of repeated edge occurrences and then the numb…