I am a computer science student here. Don't know much about VLSI. I will suggest you not to come here. Many of my friends have changed their branch from electrical to computer science. read more
VLSI is usually offered as a specialization in Electrical Engineering(MS in EE) or Electrical and Computer Engineering(MS in ECE) majors in US Schools. Here is a list of US Schools offering MS in VLSI course and PhD in VLSI in USA. MIT and Stanford are on the top list for VLSI Program. read more