On the minimum size of visibility graphs |
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Authors: | Alfredo Garc?& #x a OlaverriFerran Hurtado,Marc NoyJavier Tejel |
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Affiliation: | a Universidad de Zaragoza, Departamento de Métodos Estad?́sticos, Zaragoza, Spain b Universitat Politècnica de Catalunya, Departament de Matemàtica Aplicada II, Pau Gargallo, 5, 08028 Barcelona, Spain |
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Abstract: | In this paper we give tight lower bounds on the size of the visibility graph, the contracted visibility graph, and the bar-visibility graph of n disjoint line segments in the plane, according to their vertex-connectivity. |
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Keywords: | Combinatorial problems Computational geometry Visibility graph Lower bound |
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