Centrality (noun)

1. The state of being central or located in the middle of something.
2. The relative importance or influence of something within a larger system or group.
3. The degree to which a node or a vertex in a network is connected to other nodes or vertices.

Origin:

Derived from the adjective 'central' meaning located in the middle, centrality has been in use as a noun since the 19th century.

Examples:

1. The city's centrality in the country's transportation network made it a hub for commerce and trade.
2. The centrality of the capitol building in the city's design gave it a prominent place in the city's history.
3. The centrality of the United States in global affairs was evident in the number of international treaties it was involved in.
4. The centrality of the Internet in modern society was reflected in the number of services and activities that relied on it.
5. The centrality of the company's leader in the company's success was clear from the results of the annual report.