Partitioning the vertices of a torus into isomorphic subgraphs

Let H be an induced subgraph of the torus Ckm. We show that when k≥3 is even and |V(H)| divides some power of k, then for sufficiently large n the torus Ckn has a perfect vertex-packing with induced copies of H. On the other hand, disproving a conjecture of Gruslys, we show that when k is...

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Hlavní autoři: Bonamy, M, Morrison, N, Scott, A
Médium: Journal article
Jazyk:English
Vydáno: Elsevier 2020