K. Miura et al., A DISTRIBUTED SHORTEST-PATHS ALGORITHM WITH DISTANCE-DEPENDENT MESSAGE COMPLEXITIES, Systems and computers in Japan, 25(9), 1994, pp. 53-66
Citations number
7
Categorie Soggetti
Computer Science Hardware & Architecture","Computer Science Information Systems","Computer Science Theory & Methods
This paper presents a distributed algorithm for the single-source shor
test-paths problem in a network with nonnegative integral link weights
. Its message complexity is O(square root nDe + e), where n is the num
ber of processors, e is the number of links, and D is the maximum dist
ance from the root. The known shortest-paths algorithm with the distan
ce-dependent message complexity requires O(min(Dn + e, n2)) messages.
The algorithm of this paper is more efficient for networks with D = o(
n3/e) and D = omega(e/n). Moreover, the breadth-first search tree prob
lem is considered.