Polychromatic Colorings on the Hypercube

Abstract

Given a subgraph G of the hypercube Qn, a coloring of the edges of Qn such that every embedding of G contains an edge of every color is called a G-polychromatic coloring. The maximum number of colors with which it is possible to G-polychromatically color the edges of any hypercube is called the polychromatic number of G. To determine polychromatic numbers… (More)

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