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arXiv · 1609.01247

Linear polychromatic colorings of hypercube faces

Evan Chen
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Abstract

A coloring of the $\ell$-dimensional faces of $Q_n$ is called $d$-polychromatic if every embedded $Q_d$ has every color on at least one face. Denote by $p^\ell(d)$ the maximum number of colors such that any $Q_n$ can be colored in this way. We provide a new lower bound on $p^\ell(d)$ for $\ell > 1$.

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Evan Chen. 2018-01-15. Linear polychromatic colorings of hypercube faces. https://doi.org/10.37236/6455

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