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arXiv · 1504.06596

On Panchromatic Patterns

Hortensia Galeana-Sanchez·Ricardo Strausz
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Abstract

Given D and H two digraphs, D is H-coloured iff the arcs of D are coloured with the vertices of H. After defining what do we mean by an H-walk in the coloured D, we characterise those H, which we call panchromatic patterns, for which all D and all H-colourings of D admit a kernel by H-walks. This solves a problem of Arpin and Linek from 2007.

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Hortensia Galeana-Sanchez, Ricardo Strausz. 2015-04-24. On Panchromatic Patterns. https://arxiv.org/abs/1504.06596

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