People who have sugar (diabetes) or with weak immunity are at greater risk for post-surgical infections. Signs of infection include abnormal swelling in the affected area, fever, pus, and a prolonged bad taste in your mouth. Pyrogenium 30, to prevent infection after oral surgery. Twice daily post operatively for one week. 

Some dental patients report experiencing nausea, dizziness, and headaches after getting anesthesia. These side effects are temporary but unpleasent while it lasts.  Opium 30, (drops) 1/2 hourly to arouse the patient after general anaesthesia (dental anesthesia). 

Antimonium Tart 6C, to prevent chest complications from general anaesthesia in chesty patients. Thrice daily for several days before and one week after procedure.

Graphites 200 - bleeding of gums when pressed with finger 

[Source: Bedside clinical prescribing by Farokh Master quoting Dr. Colin Lessell]

When the gums are painful and there is soreness after tooth extraction, take Arnica montana 30, three times a day for three days. (prescribed by Dr.Shiv Dua)

For swollen gums (Gingivitis) after oral surgery refer medicines here