Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, March 04, 2004, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Shakhar Smorodinsky

On Locally Delaunay Geometric Graphs

A geometric graph is a simple graph G=(V,E) with an embedding of the set V in the plane such that the points that represent V are in general position. A geometric graph is said to be k-locally Delaunay (or a D_k-graph) if for each edge (u,v) \in E there is a disc d that contains u and v but no other vertex of G that has distance at most k (in the graph-theoretical sense) from u or v. Note that a Delaunay graph is k-locally Delaunay for any k.

The study of these graphs was recently motivated by topology control for wireless networks.

In this talk we study the maximum edge complexity of such graphs.

(Joint work with Rom Pinchasi )

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