Succinct greedy graph drawing in the hyperbolic plane

Abstract

We describe a method for producing a greedy embedding of any n-vertex simple graph G in the hyperbolic plane, so that a message M between any pair of vertices may be routed by having each vertex that receives M pass it to a neighbor that is closer to M's destination. Our algorithm produces succinct drawings, where vertex positions are represented using O(logn) bits and distance comparisons may be performed efficiently using these representations. © 2009 Springer Berlin Heidelberg.