How soon after injecting filler and Botox can I do KTP-laser treatment on my face?

As KTP-laser is a superficial laser my recommendation would be to wait 2-4 weeks. This will allow your Botox to take full effect, and your fillers to settle in. 
Best of luck, Dr.Longwill

Hi Kjhgfd,
You could have the treatment the same day. Botox will be fully absorbed and safe to do anything you wish, including KTP laser, after approximately four hours. Dermal filler will not be affected by KTP laser and could be performed immediately following injections.
There is one article in the medical literature that suggests improved results when IPL is performed after a filler treatment. I regularly perform CO2 laser treatments, and I recommend waiting 2 weeks after Botox and filler. At two weeks the Botox result is active and any possible vascular complications from filler can be easily identified and managed before the CO2. The best approach is to review your concerns and desires with an experienced physician. Work with him or her to put together a comprehensive and personalized treament plan that is safe, effective, affordable, and appropriately scheduled.

The depth of penetration for KTP laser is relatively superficial for any significant interaction.  I would wait at least a week for filler-associated swelling to subside prior to a laser treatment.  Consult with an experienced cosmetic dermatologist.