Zero-sum $K_m$ over $\mathbb{Z}$ and the story of $K_4$

Yair Caro, Adriana Hansberg, Amanda Montejano

We prove the following results solving a problem raised in [Y. Caro, R. Yuster, On zero-sum and almost zero-sum subgraphs over $\mathbb{Z}$, Graphs Combin. 32 (2016), 49--63]. For…