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On the minimum size of visibility graphs
Authors:Alfredo Garc?&  #x  a OlaverriFerran Hurtado,Marc NoyJavier Tejel
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
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.
Keywords:Combinatorial problems   Computational geometry   Visibility graph   Lower bound
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