| J. Cohen, P. Fraigniaud, J.-C. Konig, and A. Raspaud. Optimized broadcasting and multicasting protocols in cut-through routed networks. IEEE Transaction on Parallel and Distributed Systems, 9(8):788-802, 1998. |
....consider restrictions on the length of the paths. Other restrictions such as an upper bound on the total length of the paths, the number of vertices used, maximum degree of a vertex in the subgraph induced by the paths, and the weight of the paths in weighted graphs can also be considered (see [1, 9]) The path matching problem (under the name of pseudo matching) is considered in [1] in the study of broadcasting and multicasting protocols in some communication networks. The authors provide algorithms for broadcasting in log n steps in a network with n nodes. The algorithm is based on nding ....
.... bound on the total length of the paths, the number of vertices used, maximum degree of a vertex in the subgraph induced by the paths, and the weight of the paths in weighted graphs can also be considered (see [1, 9] The path matching problem (under the name of pseudo matching) is considered in [1] in the study of broadcasting and multicasting protocols in some communication networks. The authors provide algorithms for broadcasting in log n steps in a network with n nodes. The algorithm is based on nding a path matching at each step. A graph theoretic version of the path matching problem ....
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J. Cohen, P. Fraigniaud, J.C. Koing, A. Raspaud, Optimized Broadcasting and Multicasting Protocols in Cut-Through Routed Networks, IEEE Transactions on Parallel and Distributed Systems 9 (1998), 788-802.
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J. Cohen, P. Fraigniaud, J.-C. Konig, and A. Raspaud. Optimized broadcasting and multicasting protocols in cut-through routed networks. IEEE Transaction on Parallel and Distributed Systems, 9(8):788-802, 1998.
....problem in which the set of destinations is a subset of the nodes of the tree, it yields an inefficient protocol. In the 1 port edge disjoint model, Farley [8] has shown that every undirected n node network has a broadcast time of dlog 2 ne (see also [17] This result has been extended in [5] to the case in which the routes are chosen according to a shortest path routing function. However, the results of [5, 8] do not hold in directed networks: take as a counter example the digraph in which a node u has a unique outgoing arc to a node v which has in turn n Gamma 2 outgoing arcs to n ....
....In the 1 port edge disjoint model, Farley [8] has shown that every undirected n node network has a broadcast time of dlog 2 ne (see also [17] This result has been extended in [5] to the case in which the routes are chosen according to a shortest path routing function. However, the results of [5, 8] do not hold in directed networks: take as a counter example the digraph in which a node u has a unique outgoing arc to a node v which has in turn n Gamma 2 outgoing arcs to n Gamma 2 vertices w 1 ; w n Gamma2 , each connected by an outgoing arc to node u. Actually, broadcasting in a ....
J. Cohen, P. Fraigniaud, J.-C. Konig, and A. Raspaud, Optimized broadcasting and multicasting protocols in cut-through routed networks, IEEE Transaction on Parallel and Distributed Systems, (to appear). (See also IPPS '97.).
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