A Group-Theoretic Model for Symmetric Interconnection Networks
IEEE Transactions on Computers
On the fault-diameter of the star graph
Information Processing Letters
Embedding an Arbitrary Binary Tree into the Star Graph
IEEE Transactions on Computers
IEEE Transactions on Computers
Hyper hamiltonian laceability on edge fault star graph
Information Sciences: an International Journal
On Some Combinatorial Properties of the Star Graph
ISPAN '05 Proceedings of the 8th International Symposium on Parallel Architectures,Algorithms and Networks
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Hierarchical networks may be divided into subnetworks having the same topological properties of the original network. The star graph, an example of hierarchical networks, has been studied extensively as a viable candidate for massively parallel systems. For a given number of faulty links and using a combinatorial approach, lower bounds on probability of having one or more (n − 1)-stars in an n-star are determined. An identification algorithm is presented to find an available (n − 1)-star in an n-star containing a set of faulty links.