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arXiv · 1612.04603

Almost partitioning the hypercube into copies of a graph

Vytautas Gruslys·Shoham Letzter
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Abstract

Let $H$ be an induced subgraph of the hypercube $Q_k$, for some $k$. We show that for some $c = c(H)$, the vertices of $Q_n$ can be partitioned into induced copies of $H$ and a remainder of at most $O(n^c)$ vertices. We also show that the error term cannot be replaced by anything smaller than $\log n$.

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Vytautas Gruslys, Shoham Letzter. 2016-12-14. Almost partitioning the hypercube into copies of a graph. https://arxiv.org/abs/1612.04603

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