connectivity

noun

1. (uncountable)The state of being connected

   “Since submitting our Strategic Outline Business Case to the DfT last summer, MPs, government ministers and even the new Prime Minister have started talking about our £2 billion proposals as the answer to poor rail connectivity between the East Midlands and the West Midlands.”

2. (countable, uncountable)The ability to make a connection between two or more points in a network
3. (countable)In a graph, a measure of concatenated adjacency (the number of ways that points are connected to each other)