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An Improvement of the Lower Bound on the Maximum Number of Halving Lines for Sets in the Plane with an Odd Number of Points

In this paper, we give examples that improve the lower bound on the maximum number of halving lines for sets in the plane with 35, 59, 95, and 97 points and, as a consequence, we improve the current best upper bound of the rectilinear crossing number for sets in the plane with 35, 59, 95, and 97 poi...

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Gorde:
Egile Nagusiak: Javier Rodrigo, Mariló López, Danilo Magistrali, Estrella Alonso
Formatua: Artigo
Hizkuntza:Inglês
Argitaratua: MDPI AG 2025-01-01
Saila:Axioms
Gaiak:
discrete geometry
halving lines
rectilinear crossing number
optimization
Sarrera elektronikoa:https://www.mdpi.com/2075-1680/14/1/62
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