In a fully connected network, many simultaneous transfers are possible. If n sources need to send data to n distinct destinations then all of these transfers can take place concurrently. Since no transfer is prevented by the lack of a communication path, the crossbar is called a nonblocking switch.
In the Figure 10.5 of crossbar interconnection network, a single switch is shown at each cross point. In actual multiprocessor system, the paths through the crossbar network are much wider.