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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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09/09/2022
Separating bichromatic point sets in the plane by restricted orientation convex hulls
We explore the separability of point sets in the plane by a restricted-o...
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11/27/2021
On approximating shortest paths in weighted triangular tessellations
We study the quality of weighted shortest paths when a continuous 2-dime...
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08/24/2020
Geometric and statistical techniques for projective mapping of chocolate chip cookies with a large number of consumers
The so-called rapid sensory methods have proved to be useful for the sen...
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08/11/2020
Analysis of self-equilibrated networks through cellular modeling
Network equilibrium models represent a versatile tool for the analysis o...
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07/20/2020
Rainbow polygons for colored point sets in the plane
Given a colored point set in the plane, a perfect rainbow polygon is a s...
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07/16/2020
Shortest Watchman Tours in Simple Polygons under Rotated Monotone Visibility
We present an O(nrG) time algorithm for computing and maintaining a mini...
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07/17/2019
Maximum rectilinear convex subsets
Let P be a set of n points in the plane. We consider a variation of the ...
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07/11/2019
REACT: REActive resilience for critical infrastructures using graph-Coloring Techniques
Nowadays society is more and more dependent on critical infrastructures....
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02/15/2019
Cellular morphogenesis of three-dimensional tensegrity structures
The topology and form finding of tensegrity structures have been studied...
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02/15/2019
Nonlinear Negotiation Approaches for Complex-Network Optimization: A Study Inspired by Wi-Fi Channel Assignment
At the present time, Wi-Fi networks are everywhere. They operate in unli...
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12/07/2018
Non-crossing geometric spanning trees with bounded degree and monochromatic leaves on bicolored point sets
Let R and B be a set of red points and a set of blue points in the plane...
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11/16/2018
Spectrum graph coloring to improve Wi-Fi channel assignment in a real-world scenario via edge contraction
The present work deals with the problem of efficiently assigning Wi-Fi c...
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09/16/2018
Testing SensoGraph, a geometric approach for fast sensory evaluation
This paper introduces SensoGraph, a novel approach for fast sensory eval...
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07/17/2018
Generation of planar tensegrity structures through cellular multiplication
Tensegrity structures are frameworks in a stable self-equilibrated prest...
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05/07/2018
Capturing points with a rotating polygon (and a 3D extension)
We study the problem of rotating a simple polygon to contain the maximum...
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02/16/2018
Generalized kernels of polygons under rotation
Given a set O of k orientations in the plane, two points inside a simple...
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10/30/2017
Rectilinear and O-convex hull with minimum area
Let P be a set of n points in the plane and O be a set of k lines passin...
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07/21/2017