Computer Networks
Geographic routing without location information
Proceedings of the 9th annual international conference on Mobile computing and networking
On a conjecture related to geometric routing
Theoretical Computer Science - Algorithmic aspects of wireless sensor networks
Distributed computation of virtual coordinates
SCG '07 Proceedings of the twenty-third annual symposium on Computational geometry
A Distributed Geometric Routing Algorithm for Ad HocWireless Networks
ITNG '07 Proceedings of the International Conference on Information Technology
Greedy drawings of triangulations
Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
Some Results on Greedy Embeddings in Metric Spaces
FOCS '08 Proceedings of the 2008 49th Annual IEEE Symposium on Foundations of Computer Science
Succinct Greedy Geometric Routing in the Euclidean Plane
ISAAC '09 Proceedings of the 20th International Symposium on Algorithms and Computation
On the efficiency of a local iterative algorithm to compute Delaunay realizations
WEA'08 Proceedings of the 7th international conference on Experimental algorithms
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In this paper, we prove that a triangulated polygon G admits a greedy embedding into an appropriate semi-metric space such that using an appropriate distance definition, for any two vertices u and w in G, a most virtual distance decreasing path is always a minimum-edge path between u and w. Therefore, our greedy routing algorithm is optimal. The greedy embedding of G can be obtained in linear time. To the best of our knowledge, this is the first optimal greedy routing algorithm for a nontrivial subcategory of graphs.