I&C 1990
A distributed shortest path algorithm for a planar network
Abstract
An algorithm is presented for finding a single source shortest path tree in a planar undirected distributed network with nonnegative edge costs. The number of messages used by the algorithm is O(n 5 3 ) on an n-node network. Distributed algorithms are also presented for finding a breath-first spanning tree in general network, for finding a shortest path tree in a general network, for finding a separator of a planar network, and for finding a division of a planar network.
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Context
- Venue
- Information and Computation
- Archive span
- 1987-2026
- Indexed papers
- 3021
- Paper id
- 757316612788384829