Bold Graph Drawings

@article{Kreveld2009BoldGD,
  title={Bold Graph Drawings},
  author={Marc J. van Kreveld},
  journal={Comput. Geom.},
  year={2009},
  volume={44},
  pages={499-506}
}
When a graph is drawn in a classical manner, its vertices are shown as small disks and its edges with a positive width; zero-width edges exist only in theory. Let r denote the radius of the disks that show vertices and w the width of edges. We give a list of conditions that make such a drawing good and that apply to not necessarily planar graphs. We show that if r < w, a vertex must have constant degree for a drawing to satisfy the conditions, and if r ≥ w, a vertex can have any degree. We also… CONTINUE READING

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