Should I mention my accelerator program in my thesis?

If your fund is optimized to fund companies from your accelerator, then it could make sense to make it the focal point of your thesis. If you do mention the accelerator, provide metrics for how succesful alumni have become. This way LPs make a clear connection for why the fund will over-perform by specializing on investing in accelerator participants. 

On the other-hand, if the accelerator is just one source of deal-flow amongst many, experiment with a different secret sauce.