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Polychromatic Vertex Colorings of Cube Graphs

Jens-P. Bode1, Heiko Harborth1
1Diskrete Mathematik Technische Universitat Braunschweig 38023 Braunschweig, Germany

Abstract

Let \(\gamma(n, k)\) be the maximum number of colors for the vertices of the cube graph \(Q_n\), such that each subcube \(Q_k\) contains all colors. Some exact values of \(\gamma(n, k)\) are determined.