The first type you mentioned is all kinds of educational institutions named after the "Ivy League" name of the American "Ivy League" university. It can be seen that these three words are used to improve popularity. At least, there are so many names with these three words that everyone is stupid and can't tell them apart.
The second is the American Ivy League University.
Ivy League is a university federation composed of eight universities and one college in the United States. They are Harvard University in Massachusetts, Yale University in Connecticut, Columbia University in new york, Princeton University in New Jersey, Brown University in Rhode Island, Cornell University in new york, Dartmouth College in New Hampshire and University of Pennsylvania. These eight universities have many common characteristics: they are the top universities in the United States, the most difficult universities to enter, the university alliance that produces the most Rhodes scholarship winners in the world, the universities that receive the most donations in the world, and excellent students and teachers. In addition, they are the oldest universities in the United States: seven of the eight schools were established during the British colonial period. These eight universities are often compared with two world-class universities of science and technology in the United States, Massachusetts Institute of Technology and California Institute of Technology, and these eight Ivy League universities and two universities of science and technology are often called "the top ten universities in the United States".
Do you know now?