Paper by Erik D. Demaine
- Prosenjit Bose, Andrej Brodnik, Svante Carlsson, Erik D. Demaine, Rudolf Fleischer, Alejandro López-Ortiz, Pat Morin, and J. Ian Munro, “Online Routing in Convex Subdivisions”, in Proceedings of the 11th Annual International Symposium on Algorithms and Computation (ISAAC 2000), Lecture Notes in Computer Science, volume 1969, Taipei, Taiwan, December 18–20, 2000, pages 47–59.
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.
- The paper is \copyright Springer-Verlag.
- The paper is 12 pages.
- The paper is available in PostScript (636k) and gzipped PostScript (85k).
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- Related papers:
- ObliviousRouting_IJCGA2002 (Online Routing in Convex Subdivisions)
See also other papers by Erik Demaine.
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