Paper by Erik D. Demaine

Reference:

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”, International Journal of Computational Geometry and Applications, volume 12, number 4, August 2002, pages 283–295. Special issue of selected papers from the 11th Annual International Symposium on Algorithms and Computation, 2000.

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.

Length:

The paper is 14 pages.

Availability:

The paper is available in PostScript (648k) and gzipped PostScript (88k).

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Related papers:

ISAAC2000 (Online Routing in Convex Subdivisions)