Probably not. Although your dental implants could become infected, they wouldn't normally drain down to the neck region under the jaw if they were placed on the upper. Your lymph nodes can also swell up just due a common cold. I would monitor the situation and let your dentist know if it worsens or stays the same after a week or so. Try to finish the antibiotics first and see how it turns out.
Okay, that's a bit freaky then...
I don't have any other symptoms, it seemed quite coincidental that they'd come up a couple of days after the implants were placed?
I do have a root canal I need doing which I'm getting done on Thursday. Could having the implants have triggered of my defence mechanisms? i'd already had the abscess drained a while back but still have the temporary filling in, the dentist said there is still a slight shadow there, so i'm seeing the endodontist this Thursday to have the root canal finished.
Thank you for your time and help
Is the swelling worsening? It could be to some minor bacterial infection from the implant placement but if your dentist has done an exam and checked the area for any signs of infection, I would monitor it, finish your antibiotics, and let him know immediately if it worsens.