Bounds on the number of knight's tours
Discrete Applied Mathematics
An Ant Colony Optimization Algorithm for Knight's Tour Problem on the Chessboard with Holes
ETCS '09 Proceedings of the 2009 First International Workshop on Education Technology and Computer Science - Volume 01
A Fast Fault Location Algorithm Based on Pre-computed for Optical Burst Switching Network
ICCSN '09 Proceedings of the 2009 International Conference on Communication Software and Networks
An Effective Multi-fault Localization Algorithm for Optical Networks
IITAW '09 Proceedings of the 2009 Third International Symposium on Intelligent Information Technology Application Workshops
Distributed multi-failure localization protocol for all-optical networks
ONDM'09 Proceedings of the 13th international conference on Optical Network Design and Modeling
Optimal algorithms for constructing knight's tours on arbitrary n×m chessboards
Discrete Applied Mathematics
Optimal solutions for single fault localization in two dimensional lattice networks
INFOCOM'10 Proceedings of the 29th conference on Information communications
Diverse routing in networks with probabilistic failures
IEEE/ACM Transactions on Networking (TON)
Adjacent link failure localization with monitoring trails in all-optical mesh networks
IEEE/ACM Transactions on Networking (TON)
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To solve the issue of tracking down multi-link failures for backbone network fast and accurately, a multi-fault aware localization protocol based on knight's tour theory is proposed in this paper. First of all, the network model is established according to knight's tour theory. By using the method of network element abstracting with constraints, the network topology is mapped into the special chessboard with holes logically. Then, the probing messages are sent periodically along pre-computed knight's tour paths, so that the available light-paths are collected dynamically at the destination. Finally, the failed links could be determined by iteratively matching the links. Through the established general performance analysis model, it is shown that the proposed protocol has lower time complexity than other related classical protocols. Further, the simulation experiment is used to demonstrate that the proposed protocol can achieve unambiguous parallel localization under multiple link failures scenario in the different network topologies.