Wide-sense nonblocking networks
SIAM Journal on Discrete Mathematics
Nonblocking Broadcast Switching Networks
IEEE Transactions on Computers
Unicast-Based Multicast Communication in Wormhole-Routed Networks
IEEE Transactions on Parallel and Distributed Systems
ISCA '85 Proceedings of the 12th annual international symposium on Computer architecture
Broadcast Ring Sandwich Networks
IEEE Transactions on Computers
Deadlock-Free Multicast Wormhole Routing in 2-D Mesh Multicomputers
IEEE Transactions on Parallel and Distributed Systems
Generalized Connection Networks for Parallel Processor Intercommunication
IEEE Transactions on Computers
A Class of Interconnection Networks for Multicasting
IEEE Transactions on Computers
Performance Analysis and Simulation of Multicast Networks
ICPP '97 Proceedings of the international Conference on Parallel Processing
A Class of Interconnection Networks for Multicasting
IPPS '96 Proceedings of the 10th International Parallel Processing Symposium
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Efficient interconnection networks are critical to the performance of large communication systems and parallel and distributed computing systems with hundreds or thousands of communication components. The well-known Clos network or v(m,n,r) network can be extended to provide full one-to-many or multicast capability. In this paper, we consider several typical routing control strategies for Clos-type nonblocking multicast networks, and derive the necessary conditions under which this type of network is nonblocking for arbitrary multicast assignments in the strict sense as well as under these control strategies. The necessary conditions derived are represented as the number of middle switches m \geq \Theta\left(n \frac{\log r}{\log \log r} \right ). These results match the sufficient nonblocking condition for the currently best available explicitly constructed, constant stage nonblocking multicast network and provide a basis for the optimal design of this type of multicast network.