Every Schnyder Drawing is a Greedy Embedding
Computational Geometry
2016-09-15 v1
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.
Keywords
Cite
@article{arxiv.1609.04173,
title = {Every Schnyder Drawing is a Greedy Embedding},
author = {Pierre Leone and Kasun Samarasinghe},
journal= {arXiv preprint arXiv:1609.04173},
year = {2016}
}