• Corpus ID: 119285022

# A Note on the Maximum Rectilinear Crossing Number of Spiders

@article{Fallon2018ANO,
title={A Note on the Maximum Rectilinear Crossing Number of Spiders},
author={Joshua Fallon and Kirsten Hogenson and Lauren Keough and Mario Lomel'i and Marcus Schaefer and Pablo Sober'on},
journal={arXiv: Combinatorics},
year={2018}
}
• Published 1 August 2018
• Mathematics
• arXiv: Combinatorics
The maximum rectilinear crossing number of a graph $G$ is the maximum number of crossings in a good straight-line drawing of $G$ in the plane. In a good drawing any two edges intersect in at most one point (counting endpoints), no three edges have an interior point in common, and edges do not contain vertices in their interior. A spider is a subdivision of $K_{1,k}$. We provide both upper and lower bounds for the maximum rectilinear crossing number of spiders. While there are not many results…

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