# Euclidean Greedy Drawings of Trees

@article{Nllenburg2017EuclideanGD,
title={Euclidean Greedy Drawings of Trees},
author={Martin N{\"o}llenburg and Roman Prutkin},
journal={Discrete \& Computational Geometry},
year={2017},
volume={58},
pages={543-579}
}
• Published 21 June 2013
• Computer Science, Mathematics
• Discrete & Computational Geometry
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 greedy embeddings in the Euclidean plane $${\mathbb {R}}^2$$R2 is known for certain graph classes such as 3-connected planar graphs. We completely characterize the trees that admit a greedy embedding in…
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