Construct a network of citations
Strangely enough, this question was asked on SO a while back with no real good answers. There was a link to this question, which links to PaperScope, which looks promising, although there hasn't been activity on the project since April 2013. I've never used it that tool.

Microsoft's Visual Explorerisn't exactly what you're looking for, but it's related. Hubmed used to have a graph view but I can't find it now, maybe you can.

The problem will be that even going just two nodes out - your citations, and your citations' citations - will include thousands of papers from hundreds of authors. As discussed in the aforelinked SO and SU questions, simply choosing an appropriate way to display the data will be a non-trivial challenge, and making useful inferences from the results will probably be even more difficult. Still, it may be interesting. Good luck!