We consider the broadcast and gossiping problems in circulant networks. The circulant graphs are studied extensively as reliable interconnection networks for the multiprocessor systems. We consider gossiping in the store-and-forward, full-duplex and shouting model for the case when communicating nodes can exchange up to a fixed number p of packets at each round of gossiping (p-gossiping). A general method for evaluation of the lower bounds for p-gossiping in circulant graphs is established. The parallel decentralized node-invariant broadcast and p-gossiping algorithms are proposed which provide the minimum execution time and the minimum of message loading of the network during message-passing.
Index Terms:
broadcast, gossiping, circulant networks, parallel algorithms, multicomputer system
Citation:
E.A. Monakhova, "Algorithms and Lower Bounds for P-Gossiping in Circulant Networks," ispan, pp.132, 1997 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN '97), 1997