English

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

Computational Geometry 2020-10-06 v1

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.

Cite

@article{arxiv.2010.01881,
  title  = {Recognizing embedded caterpillars with weak unit disk contact representations is NP-hard},
  author = {Man-Kwun Chiu and Jonas Cleve and Martin Nöllenburg},
  journal= {arXiv preprint arXiv:2010.01881},
  year   = {2020}
}

Comments

Appeared in EuroCG 2019

R2 v1 2026-06-23T19:02:12.589Z