Hi. When I graduated (2000), I was looking for a job in Unix. I didn't really care to much if it was on linux, bsd or something else. The best option I got was NCST where they have a balance between windows and unix work. You'll have to go through the entrance test to get in.
You could also try for Amazon, Google or Yahoo!. They do a lot of unix based work on linux and freebsd. However, unless you're from one of the IITs or RECs, it's pretty hard for freshers to get in. If you have done a lot of hobby projects, and worked on some large FOSS projects, then that helps a lot.
Try and work on a medium sized FOSS project. Try and start your own as well. The exposure to working with large, diverse and geographically disparate teams will be a good point on your resume, and the technical skills you'll gain are unparalleled. I've interviewed candidates ranging from freshers to those with 10 years experience. I always find that the best candidates are those who've shown initiative in working on 'interesting' FOSS projects. It's the drive that makes them.
Remember the old adage, "A hacker does for love what others would not do for money".
Ciao,
Philip