Examples of "Real World Dense Graphs"
There is a research paper from 2006: "Just how dense are dense graphs in the real world? A methodological note"
"People participating to a same social activity, companies competing or collaborating in a given industrial sector, routers exchanging packets over the internet, or proteins involved in a given process of the living cell are examples of “networks” that can be modeled using graphs. They form a network because of the inter- actions taking place between the different actors: people, companies, routers or proteins."