Broadcasting is a process of transmitting a message held in one node of a communication network to all other nodes. Links of the network are subject to randomly and independently distributed faults with probability 0 < q < 1/2; faults are permanent and Byzantine, while all nodes are fault-free. In a unit of time, each node can communicate with at most one other node. We present a broadcasting algorithm which works for n nodes in time O(log n) with probability of correctness exceeding 1 - 1/n, for sufficiently large n.
All Science Journal Classification (ASJC) codes
- Control and Optimization
- Computational Mathematics
- Computational Theory and Mathematics