Title
Online Routing in Convex Subdivisions
Abstract
We consider online routing algorithms for finding paths between the vertices of plane graphs. We show (1) there exists a routing algorithm for arbitrary triangulations that has no memory and uses no randomization, (2) no equivalent result is possible for convex subdivisions, (3) there is no competitive online routing algorithm under the Euclidean distance metric in arbitrary triangulations, and (4) there is no competitive online routing algorithm under the link distance metric even when the input graph is restricted to be a Delaunay, greedy, or minimum-weight triangulation.
Year
DOI
Venue
2000
10.1007/3-540-40996-3_5
ISAAC
Keywords
Field
DocType
distance metric,plane graph,euclidean distance
Discrete mathematics,Combinatorics,Vertex (geometry),Computer science,Euclidean distance,Destination-Sequenced Distance Vector routing,Metric (mathematics),Triangulation (social science),Planar graph,Competitive analysis,Delaunay triangulation
Conference
ISBN
Citations 
PageRank 
3-540-41255-7
38
4.90
References 
Authors
7
8
Name
Order
Citations
PageRank
Prosenjit K. Bose12336293.75
Pat Morin21610178.95
Andrej Brodnik356277.14
Svante Carlsson476490.17
Erik D. Demaine54624388.59
Rudolf Fleischer694985.69
J. Ian Munro73010462.97
Alejandro López-Ortiz81252107.44