In the mid 90’s there were two concurrent and successful programs (one by Dragan Marušič and Raffaele Scapellato and the other led by Cheryl Praeger) to classify vertex-transitive graphs of order a product of two distinct primes.  We discuss the complementary results obtained by these efforts, as well as discussing relevant work arising from these classifications.  We will also mention some open problems.

Slides from the talk are available here: DOWNLOAD SLIDES!