Abstract
AbstractA greedy drawing is a graph drawing containing a distance-decreasing path for every pair of nodes. A path (v 0,v 1,...,v m ) is distance-decreasing if d(v i ,v m ) < d(v i − 1,v m ), for i = 1,...,m. Greedy drawings easily support geographic greedy routing. Hence, a natural and practical problem is the one of constructing greedy drawings in the plane using few bits for representing vertex Cartesian coordinates and using the Euclidean distance as a metric. We show that there exist greedy-drawable graphs that do not admit any greedy drawing in which the Cartesian coordinates have less than a polynomial number of bits.KeywordsPlanar GraphCentral NodeEdge IncidentGraph DrawingLeaf EdgeThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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