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arXiv · 1609.04173

Every Schnyder Drawing is a Greedy Embedding

Pierre Leone·Kasun Samarasinghe
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Abstract

Geographic routing is a routing paradigm, which uses geographic coordinates of network nodes to determine routes. Greedy routing, the simplest form of geographic routing forwards a packet to the closest neighbor towards the destination. A greedy embedding is a embedding of a graph on a geometric space such that greedy routing always guarantees delivery. A Schnyder drawing is a classical way to draw a planar graph. In this manuscript, we show that every Schnyder drawing is a greedy embedding, based on a generalized definition of greedy routing.

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Pierre Leone, Kasun Samarasinghe. 2016-09-14. Every Schnyder Drawing is a Greedy Embedding. https://arxiv.org/abs/1609.04173

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