Corpus ID: 211096767

Drawing Graphs as Spanners

@article{Aichholzer2020DrawingGA,
  title={Drawing Graphs as Spanners},
  author={Oswin Aichholzer and Manuel Borrazzo and Prosenjit Bose and Jean Cardinal and Fabrizio Frati and Pat Morin and Birgit Vogtenhuber},
  journal={ArXiv},
  year={2020},
  volume={abs/2002.05580}
}
  • Oswin Aichholzer, Manuel Borrazzo, +4 authors Birgit Vogtenhuber
  • Published in ArXiv 2020
  • Computer Science, Mathematics
  • We study the problem of embedding graphs in the plane as good geometric spanners. That is, for a graph $G$, the goal is to construct a straight-line drawing $\Gamma$ of $G$ in the plane such that, for any two vertices $u$ and $v$ of $G$, the ratio between the minimum length of any path from $u$ to $v$ and the Euclidean distance between $u$ and $v$ is small. The maximum such ratio, over all pairs of vertices of $G$, is the spanning ratio of $\Gamma$. First, we show that deciding whether a graph… CONTINUE READING

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