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arXiv · 2308.08966

Weakly and Strongly Fan-Planar Graphs

Otfried Cheong·Henry Förster·Julia Katheder·Maximilian Pfister·Lena Schlipf
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Abstract

We study two notions of fan-planarity introduced by (Cheong et al., GD22), called weak and strong fan-planarity, which separate two non-equivalent definitions of fan-planarity in the literature. We prove that not every weakly fan-planar graph is strongly fan-planar, while the upper bound on the edge density is the same for both families.

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Otfried Cheong, Henry Förster, Julia Katheder, Maximilian Pfister, Lena Schlipf. 2023-08-30. Weakly and Strongly Fan-Planar Graphs. https://arxiv.org/abs/2308.08966

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