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arXiv · 1805.02538

Non-Monochromatic and Conflict-Free Coloring on Tree Spaces and Planar Network Spaces

Boris Aronov·Mark de Berg·Aleksandar Markovic·Gerhard Woeginger
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Abstract

It is well known that any set of n intervals in $\mathbb{R}^1$ admits a non-monochromatic coloring with two colors and a conflict-free coloring with three colors. We investigate generalizations of this result to colorings of objects in more complex 1-dimensional spaces, namely so-called tree spaces and planar network spaces.

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Boris Aronov, Mark de Berg, Aleksandar Markovic, Gerhard Woeginger. 2018-05-07. Non-Monochromatic and Conflict-Free Coloring on Tree Spaces and Planar Network Spaces. https://arxiv.org/abs/1805.02538

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