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...

Full description

Bibliographic Details

Published in:	Discrete Mathematics & Theoretical Computer Science
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
Subjects:	mathematics - combinatorics computer science - computational geometry computer science - discrete mathematics
Online Access:	http://dmtcs.episciences.org/12443/pdf