Fault diameter of interconnection networks
Computers and Mathematics with Applications - Diagnosis and reliable design of VLSI systems
Discrete Optimization Problem in Local Networks and Data Alignment
IEEE Transactions on Computers
Distributed loop computer networks: a survey
Journal of Parallel and Distributed Computing
A Combinatorial Problem Related to Multimodule Memory Organizations
Journal of the ACM (JACM)
A complementary survey on double-loop networks
Theoretical Computer Science
An Optimal Fault-Tolerant Routing Algorithm for Weighted Bidirectional Double-Loop Networks
IEEE Transactions on Parallel and Distributed Systems
An optimal message routing algorithm for circulant networks
Journal of Systems Architecture: the EUROMICRO Journal
Optimal routing in double loop networks
Theoretical Computer Science
Theory of Computing Systems - Special Issue: Symposium on Parallelism in Algorithms and Architectures 2006; Guest Editors: Robert Kleinberg and Christian Scheideler
Developing fault-tolerant distributed loops
Information Processing Letters
On the wide diameter of directed double-loop networks
Journal of Network and Computer Applications
Theoretical Computer Science
Optimal designs of directed double-loop networks
CIS'04 Proceedings of the First international conference on Computational and Information Science
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This paper addresses the reliability of directed double-loop networks G(N;r,s), and studies the problems about optimal fault-tolerant routing, fault-tolerant diameter, etc., in G(N;r,s). Firstly, we study the shapes of the L-shaped tiles which are the minimum distance diagram of directed double-loop networks; we divide them into four types. There are different parameters for each type. According to the solutions to the congruence equation, then we study the distributions of the optimal equivalent nodes for different destination nodes, and present an optimal fault-tolerant routing algorithm and a formula computing the fault-tolerant diameter. Finally, we prove that there is a lower bound for fault-tolerant diameter, and show that there may be lots of double optimal directed double-loop networks in some infinite clusters of G(N;r,s). According to the proposed fault-tolerant routing algorithm, the reliability and transmission performance will be optimal when some faults occur in G(N;r,s).