## An efficient solution of the firing mob problem.(English)Zbl 0745.68025

Summary: An efficient solution of the firing mob problem, which is the generalization of the well-known “firing squad synchronization” problem to finite bounded-degree networks, is presented. First, a method of synchronizing tree-connected networks is given. This method is extended to general networks. The total synchronization time is $$3.5r$$ where $$r$$ is the radius of the network. No solution can work in time less than $$3r$$ on all networks. Moreover, it is shown why our solution will approach this value in the limit case when the number of states used becomes arbitrarily large.

### MSC:

 68M10 Network design and communication in computer systems

### Keywords:

synchronization; finite bounded-degree networks
Full Text:

### References:

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