Zero-sum copies of spanning forests in zero-sum complete graphs

Elena Mohr, Johannes Pardey, Dieter Rautenbach

For a complete graph $K_n$ of order $n$, an edge-labeling $c:E(K_n)\to \{-1,1\}$ satisfying $c(E(K_n))=0$, and a spanning forest $F$ of $K_n$, we consider the problem to minimize…