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arXiv · 1606.02220

Non-aligned drawings of planar graphs

Therese Biedl·Claire Pennarun
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Abstract

A non-aligned drawing of a graph is a drawing where no two vertices are in the same row or column. Auber et al. showed that not all planar graphs have non-aligned drawings that are straight-line, planar, and in the minimal-possible $n\times n$-grid. They also showed that such drawings exist if up to $n-3$ edges may have a bend. In this paper, we give algorithms for non-aligned planar drawings that improve on the results by Auber et al. In particular, we give such drawings in an $n\times n$-grid with significantly fewer bends, and we study what grid-size can be achieved if we insist on having straight-line drawings.

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Therese Biedl, Claire Pennarun. 2016-06-07. Non-aligned drawings of planar graphs. https://arxiv.org/abs/1606.02220

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