On polynomials associated to Voronoi diagrams of point sets and crossing numbers

Three polynomials are defined for given sets $S$ of $n$ points in general position in the plane: The Voronoi polynomial with coefficients the numbers of vertices of the order-$k$ Voronoi diagrams of $S$, the circle polynomial with coefficients the numbers of circles through three points of $S$ enclo...

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Bibliographic Details
Main Authors: Mercè Claverol, Andrea de las Heras-Parrilla, David Flores-Peñaloza, Clemens Huemer, David Orden
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2024-11-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:http://dmtcs.episciences.org/12443/pdf
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