I was reading this paper where they mention about undirected networks:
"The total connectivity of a network is defined as $C=\frac{E}{N(N-1)}$ where E is the number of edges and N the total number of nodes."
However, this is just another way of talking about network density is it not? You could just change the denominator and refer to network density for directed and undirected networks.
Or is this "total connectivity" anything different than density?