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04/24/2023
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 po...
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07/27/2022
Voronoi Diagrams of Arbitrary Order on the Sphere
For a given set of points U on a sphere S, the order k spherical Voronoi...
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09/27/2021
The edge labeling of higher order Voronoi diagrams
We present an edge labeling of order-k Voronoi diagrams, V_k(S), of poin...
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03/01/2020
New production matrices for geometric graphs
We use production matrices to count several classes of geometric graphs....
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11/24/2019
On Maximum-Sum Matchings of Points
Huemer et al. (Discrete Mathematics, 2019) proved that for any two point...
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07/12/2019
On circles enclosing many points
We prove that every set of n red and n blue points in the plane contains...
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02/26/2019
A new lower bound on the maximum number of plane graphs using production matrices
We use the concept of production matrices to show that there exist sets ...
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02/22/2019
Matching points with disks with a common intersection
We consider matchings with diametral disks between two sets of points R ...
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08/27/2018
