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arXiv · 1310.1845

On triangulating k-outerplanar graphs

Therese Biedl
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Abstract

A k-outerplanar graph is a graph that can be drawn in the plane without crossing such that after k-fold removal of the vertices on the outer-face there are no vertices left. In this paper, we study how to triangulate a k-outerplanar graph while keeping its outerplanarity small. Specifically, we show that not all k-outerplanar graphs can be triangulated so that the result is k-outerplanar, but they can be triangulated so that the result is (k+1)-outerplanar.

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Therese Biedl. 2013-10-24. On triangulating k-outerplanar graphs. https://arxiv.org/abs/1310.1845

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