Weakly and Strongly Fan-Planar Graphs

Published 17 Aug 2023 in math.CO and cs.CG | (2308.08966v2)

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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