What are Collinearity Graphs? [Incidence Geometry Ep. 3]

This video covers collinearity graphs, a graph representation of an incidence structure, with several examples. We cover the basic properties of collinearity graphs, as well as how they can be used to define notions of connectivity and distance for incidence structures. We work through several examples of both finding collinearity graphs and applying them to find distances in an incidence structure, and then compare the notion of distance based upon collinearity graphs with that based upon incidence graphs, which we covered in my previous video.

If you're interested in learning more, here are two great resources:

https://link.springer.com/book/10.1007/978-3-319-43811-5

https://link.springer.com/book/10.1007/978-3-642-20972-7