Euclidean Greedy Drawings of Trees

Martin Nöllenburg; Roman Prutkin

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arXiv · 1306.5224

Euclidean Greedy Drawings of Trees

Martin Nöllenburg·Roman Prutkin

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Abstract

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 R^2 is known for certain graph classes such as 3-connected planar graphs. We completely characterize the trees that admit a greedy embedding in R^2. 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.

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BibTeX RIS

Martin Nöllenburg, Roman Prutkin. 2013-06-21. Euclidean Greedy Drawings of Trees. https://arxiv.org/abs/1306.5224

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