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arXiv · 1411.7277

$1$-String $B_2$-VPG Representation of Planar Graphs

Therese Biedl·Martin Derka
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Abstract

In this paper, we prove that every planar graph has a 1-string $B_2$-VPG representation---a string representation using paths in a rectangular grid that contain at most two bends. Furthermore, two paths representing vertices $u,v$ intersect precisely once whenever there is an edge between $u$ and $v$.

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Therese Biedl, Martin Derka. 2014-11-26. $1$-String $B_2$-VPG Representation of Planar Graphs. https://arxiv.org/abs/1411.7277

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