arXiv
Open Access
2020
Drawing outer-1-planar graphs revisited
Therese Biedl
Abstrak
In a recent article (Auer et al, Algorithmica 2016) it was claimed that every outer-1-planar graph has a planar visibility representation of area $O(n\log n)$. In this paper, we show that this is wrong: There are outer-1-planar graphs that require $Ω(n^2)$ area in any planar drawing. Then wegive a construction (using crossings, but preserving a given outer-1-planar embedding) that results in an orthogonal box-drawing with O(n log n) area and at most two bends per edge.
Topik & Kata Kunci
Penulis (1)
T
Therese Biedl
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2020
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- en
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- arXiv
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- Open Access ✓