E cient Broadcast Protocol Sample Clauses

E cient Broadcast Protocol. It is evident that for any adversary structure ( with exponential size in P the basic protocol is not e cient since the number of messages to be sent is of size ) (the size of the IG-tree). In order to make the basic broadcast protocol e cient, we generalize and apply the shifting technique introduced in [BDDS87]. We x some protocol parameter b with 4 b < n. The original IG-tree is reduced by pruning all nodes of level l > b. This reduced tree de nes a protocol with b communication rounds which is called reduced protocol. In the reduced protocol, information gathering consists of exactly that subset of messages of the basic protocol for which there exists a node in the reduced tree to store the received message. Data conversion is de xxx in the same way as for the basic protocol. In the sequel we assume that the original IG-tree is of height h b and that hence the reduced IG-tree is not identical to the original IG-tree of the basic protocol. In the other case we de ne the e cient protocol to be equal to the basic protocol (since we do not need the protocol extensions described in this section).
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