Connectivity (noun)

1. The state or quality of being connected or the degree to which a network or system can connect to other networks or systems.
2. The ability of a device, system, or network to be connected to other devices, systems, or networks.

Origin:

Formed from the verb connect and the noun suffix -ity.

Examples:

1. The city's infrastructure has greatly improved connectivity.
2. The new device has excellent connectivity options.
3. The company's goal is to improve connectivity for their customers.
4. The new software has improved the system's connectivity.
5. The network's connectivity was down for several hours.