Partitioning the vertices of a torus into isomorphic subgraphs

Marthe Bonamy, Natasha Morrison, Alex Scott

Let $H$ be an induced subgraph of the torus $C_k^m$. We show that when $k\ge 3$ is even and $|V(H)|$ divides some power of $k$, then for sufficiently large $n$ the torus $C_k^n$ h…