Author(s):
Almeida, Paulo Sérgio 
; Baquero, Carlos ; Cunha, Alcino
Date: 2012
Persistent ID: http://hdl.handle.net/1822/24670
Origin: RepositóriUM - Universidade do Minho
Document details
Fast distributed computation of distances in networks
Description
Comunicação publicada em "IEEE Conference on Decision & Control (CDC)", pag. 5215-5220 This paper presents a distributed algorithm to simultaneously compute the diameter, radius and node eccentricity in all nodes of a synchronous network. Such topological information may be useful as input to configure other algorithms. Previous approaches have been modular, progressing in sequential phases using building blocks such as BFS tree construction, thus incurring longer executions than strictly required. We present an algorithm that, by timely propagation of available estimations, achieves a faster convergence to the correct values. We show local criteria for detecting convergence in each node. The algorithm avoids the creation of BFS trees and simply manipulates sets of node ids and hop counts. For the worst scenario of variable start times, each node i with eccentricity ecc(i) can compute: the node eccentricity in diam(G)+ecc(i)+2 rounds; the diameter in 2 diam(G)+ecc(i)+2 rounds; and the radius in diam(G) + ecc(i) + 2 radius(G) rounds.
Comunicação publicada em "IEEE Conference on Decision & Control (CDC)", pag. 5215-5220 This paper presents a distributed algorithm to simultaneously compute the diameter, radius and node eccentricity in all nodes of a synchronous network. Such topological information may be useful as input to configure other algorithms. Previous approaches have been modular, progressing in sequential phases using building blocks such as BFS tree construction, thus incurring longer executions than strictly required. We present an algorithm that, by timely propagation of available estimations, achieves a faster convergence to the correct values. We show local criteria for detecting convergence in each node. The algorithm avoids the creation of BFS trees and simply manipulates sets of node ids and hop counts. For the worst scenario of variable start times, each node i with eccentricity ecc(i) can compute: the node eccentricity in diam(G)+ecc(i)+2 rounds; the diameter in 2 diam(G)+ecc(i)+2 rounds; and the radius in diam(G) + ecc(i) + 2 radius(G) rounds.
Document Type
Article
Language English
Language English
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