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Sparse communication networks and efficient routing in the plane

Sparse communication networks and efficient routing in the plane Traditional approaches to network design separate the issues of designing the network itself and designing its management and control subsystems. This paper proposes an approach termed routing-oriented network design, which is based on designing the network topology and its routing scheme together, attempting to optimize some of the relevant parameters of both simultaneously. This approach is explored by considering the design of communication networks supporting efficient routing in the special case of points located in the Euclidean plane. The desirable network parameters considered include low degree and small number of communication links. The desirable routing parameters considered include small routing tables, small number of hops and low routing stretch. Two rather different schemes are presented, one based on direct navigation in the plane and the other based on efficient hierarchical tree covers. On a collection of n sites with diameter D, these methods yield networks with a total of $O(n\log D)$ communication links and some bounds on the degree, coupled with routing schemes with constant routing stretch, $O(\log n \log D)$ memory bits per vertex and routes with at most $\log n$ or $\log D$ hops. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Distributed Computing Springer Journals

Sparse communication networks and efficient routing in the plane

Distributed Computing , Volume 14 (4) – Dec 1, 2001

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References (13)

Publisher
Springer Journals
Copyright
Copyright © 2001 by Springer-Verlag Berlin Heidelberg
Subject
Computer Science; Computer Communication Networks; Computer Hardware; Computer Systems Organization and Communication Networks; Software Engineering/Programming and Operating Systems; Theory of Computation
ISSN
0178-2770
eISSN
1432-0452
DOI
10.1007/s004460100054
Publisher site
See Article on Publisher Site

Abstract

Traditional approaches to network design separate the issues of designing the network itself and designing its management and control subsystems. This paper proposes an approach termed routing-oriented network design, which is based on designing the network topology and its routing scheme together, attempting to optimize some of the relevant parameters of both simultaneously. This approach is explored by considering the design of communication networks supporting efficient routing in the special case of points located in the Euclidean plane. The desirable network parameters considered include low degree and small number of communication links. The desirable routing parameters considered include small routing tables, small number of hops and low routing stretch. Two rather different schemes are presented, one based on direct navigation in the plane and the other based on efficient hierarchical tree covers. On a collection of n sites with diameter D, these methods yield networks with a total of $O(n\log D)$ communication links and some bounds on the degree, coupled with routing schemes with constant routing stretch, $O(\log n \log D)$ memory bits per vertex and routes with at most $\log n$ or $\log D$ hops.

Journal

Distributed ComputingSpringer Journals

Published: Dec 1, 2001

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