Abstract
Broadcasting is an information dissemination problem in a connected network, in which one node, called the originator, disseminates a message to all other nodes by placing a series of calls along the communication lines of the network. Once informed, the nodes aid the originator in distributing the message. Finding the broadcast time of any vertex in an arbitrary graph is NP-complete. The polynomial time solvability is shown only for trees and unicyclic graphs. In this paper we consider necklace graphs. We present a linear algorithm to find the broadcast time of an arbitrary necklace graph.
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