Distributed algorithms for shortest-path, deadlock-free routing and broadcasting in Fibonacci cubes

Distributed routing and broadcasting algorithms for the Fibonacci cube are presented. The routing algorithm is shown to find shortest and deadlock-free paths. Two communication models are considered for the broadcasting. It is shown that the all-port broadcasting algorithm is optimal in terms of minimized routing steps. An upper bound is obtained for the one-port broadcasting algorithm, which is shown to be optimal for certain cases. The time complexities of the all- and one-port broadcasting algorithms are examined.<>