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...

Cur síos iomlán

Sonraí bibleagrafaíochta
Príomhchruthaitheoirí: Bonamy, M, Morrison, N, Scott, A
Formáid: Journal article
Teanga:English
Foilsithe / Cruthaithe: Elsevier 2020