Academics establish relationships by way of various interactions like jointly authoring a research paper or report, jointly supervising a thesis, working jointly on a project, etc. Some of these relationships are ubiquitous whereas other are hard to keep track of. Of all types of possible academic and research collaborations, co-authorship is best documented. In this paper we analyze the co-authorship based academic social networks of computer science engineering departments of Indian Institutes of Technology (IITs) as evidenced from their research publications produced during 2011 and 2015. We use social network analysis metrics to study the collaboration networks in four leading IITs. From experimental results it can be concluded that IIT Delhi and IIT Kharagpur have a close knit collaboration network whereas the collaboration network of IIT Kanpur and IIT Madras is fragmented. However, the collaboration networks of all the four IITs exhibit similar network properties as expected from any other collaboration network.