Your already using some "tech" that is still not possible. So here are a few futurish Options.


Warp the star. You have warp drive technology. This compresses space/time in front of you and expands it behind you. Do this to a star but stop the process with the start partly compressed and partly expanded.

Negative Mass Bomb- Just like it sound send a bomb the explodes with negative mass. This should theoretically tear a hole in space and suck in the star.


Move the Star - Who say you actually have to blow it up? If the end game is to destroy the planets in the system just move the star. Use some sort of ultra dense (had more gravity then the star) material that is protected by some anti gravity shielding. Then all you have to do is launch it near the star. It Either will suck in the star or pull it into an orbit, thus disturbing the orbit of the bodies around it. 

If you want to go star trek meta: Omega particle If memory serves me right, only a couple are needed to restart the universe.