Noun
(uncountable) The state or quality of being between.
Synonyms: betweenhood, betwixtness
(graph theory, countable) A measure of the number of geodesic paths through a node or edge.
Source: en.wiktionary.orgFor example, the type dog (or doghood) is a universal, as are the property red (or redness) and the relation betweenness (or being between). Source: Internet
Betweenness centrality considers for each node i all the shortest paths that should pass through i to connect all the other nodes in the network. Source: Internet
That is, a universal type (doghood), property (redness), or relation (betweenness) inheres in a particular object (a specific dog, red thing, or object between other things). Source: Internet