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arXiv · 2010.01881

Recognizing embedded caterpillars with weak unit disk contact representations is NP-hard

Man-Kwun Chiu·Jonas Cleve·Martin Nöllenburg
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Abstract

Weak unit disk contact graphs are graphs that admit a representation of the nodes as a collection of internally disjoint unit disks whose boundaries touch if there is an edge between the corresponding nodes. We provide a gadget-based reduction to show that recognizing embedded caterpillars that admit a weak unit disk contact representation is NP-hard.

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Man-Kwun Chiu, Jonas Cleve, Martin Nöllenburg. 2020-10-05. Recognizing embedded caterpillars with weak unit disk contact representations is NP-hard. https://arxiv.org/abs/2010.01881

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