Geometric intersection graphs form an intriguing class of structures in which vertices represent geometric objects – such as line segments, discs, or curves – and an edge is established between two ...
In this paper we study the treewidth of the random geometric graph, obtained by dropping n points onto the square [0, √n]² and connecting pairs of points by an edge if their distance is at most r = ...
This lecture course is devoted to the study of random geometrical objects and structures. Among the most prominent models are random polytopes, random tessellations, particle processes and random ...
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