A Group-Theoretic Model for Symmetric Interconnection Networks
IEEE Transactions on Computers
Generalized Measures of Fault Tolerance with Application to N-Cube Networks
IEEE Transactions on Computers
Embedding meshes on the star graph
Journal of Parallel and Distributed Computing
On embedding rings into a star-related network
Information Sciences: an International Journal
Selection, routing, and sorting on the star graph
Journal of Parallel and Distributed Computing
A grid embedding into the star graph for image analysis solutions
Information Processing Letters
Matrix Decomposition on the Star Graph
IEEE Transactions on Parallel and Distributed Systems
Embedding Torus on the Star Graph
IEEE Transactions on Parallel and Distributed Systems
Longest fault-free paths in star graphs with vertex faults
Theoretical Computer Science
Longest Fault-Free Paths in Star Graphs with Edge Faults
IEEE Transactions on Computers
Introduction to Parallel Processing: Algorithms and Architectures
Introduction to Parallel Processing: Algorithms and Architectures
A parallel algorithm for Lagrange interpolation on the star graph
Journal of Parallel and Distributed Computing
Algorithms and Bounds for Shortest Paths and Diameter in Faulty Hypercubes
IEEE Transactions on Parallel and Distributed Systems
A Parallel Algorithm for Computing Fourier Transforms on the Star Graph
IEEE Transactions on Parallel and Distributed Systems
Fault-Tolerant Ring Embedding in a Star Graph with Both Link and Node Failures
IEEE Transactions on Parallel and Distributed Systems
Reliable Communication in Faulty Star Networks
IPDPS '02 Proceedings of the 16th International Parallel and Distributed Processing Symposium
Fault tolerant communication algorithms on the star network using disjoint paths
HICSS '95 Proceedings of the 28th Hawaii International Conference on System Sciences
Node-ranking schemes for the star networks
Journal of Parallel and Distributed Computing
A faster algorithm for solving linear algebraic equations on the star graph
Journal of Parallel and Distributed Computing
A (4n-9)/3 diagnosis algorithm on n-dimensional cube network
Information Sciences: an International Journal
Conditional diagnosability of alternating group networks
Information Processing Letters
Fault diagnosability of arrangement graphs
Information Sciences: an International Journal
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In order to make a full evaluation of an interconnection network, it is essential to estimate the minimum size of a largest connected component of this network provided the faulty vertices in the network may break its connectedness. Star graphs are recognized as promising candidates for interconnection networks. This article addresses the size of a largest connected component of a faulty star graph. We prove that, in an n-star graph (n≥3) with up to 2n-4 faulty vertices, all fault-free vertices but at most two form a connected component. Moreover, all fault-free vertices but exactly two form a connected component if and only if the set of all faulty vertices is equal to the neighbourhood of a pair of fault-free adjacent vertices. These results show that star graphs exhibit excellent fault-tolerant abilities in the sense that there exists a large functional network in a faulty star graph.