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arXiv · 1511.00873

The (3,1)-ordering for 4-connected planar triangulations

Therese Biedl·Martin Derka
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Abstract

Canonical orderings of planar graphs have frequently been used in graph drawing and other graph algorithms. In this paper we introduce the notion of an $(r,s)$-canonical order, which unifies many of the existing variants of canonical orderings. We then show that $(3,1)$-canonical ordering for 4-connected triangulations always exist; to our knowledge this variant of canonical ordering was not previously known. We use it to give much simpler proofs of two previously known graph drawing results for 4-connected planar triangulations, namely, rectangular duals and rectangle-of-influence drawings.

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Therese Biedl, Martin Derka. 2015-11-03. The (3,1)-ordering for 4-connected planar triangulations. https://arxiv.org/abs/1511.00873

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