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A distributed shortest path algorithm for a planar network

Journal Article journal-article Computer Science ยท Theoretical Computer Science

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
v2026.09.13