Greedy embedding (or drawing) is a simple and efficient strategy to route messages in wireless sensor networks. For each source-destination pair of nodes s,t in a greedy embedding there is always a neighbor u of s that is closer to t according to some distance metric. The existence of Euclidean greedy embeddings in ℝ2 is known for certain graph classes such as 3-connected planar graphs. We completely characterize the trees that admit a greedy embedding in ℝ2. This answers a question by Angelini et al. (Graph Drawing 2009) and is a further step in characterizing the graphs that admit Euclidean greedy embeddings. © 2013 Springer-Verlag.
CITATION STYLE
Nöllenburg, M., & Prutkin, R. (2013). Euclidean greedy drawings of trees. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8125 LNCS, pp. 767–778). https://doi.org/10.1007/978-3-642-40450-4_65
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