Billman, no city in Ukraine has more Universities than Kharkov. Kharkov is a great city to go to for those guys who are seeking ladies 22 to 32. Many ladies attending the many Universities in Kharkov come from the surrounding villages and small cities and after graduation to not want to return to the country life and end up staying in Kharkov.
And ofcourse Kiev has several Universities.
Lugansk has a fair number of Universities as well as Dnepropetrovsk.