Can you use bleach and water to clean Mohawk laminate wood flooring? How diluted should it be if yes?

Harsh cleaning chemicals like bleach can dull out your floor and may even strip the protective coating off. I use Murphy's Oil Soap on mine and it works great but I use it sparilngly and ring as much water out as possible so it doesn't get too wet.

You can also use a little dishwashing liquid in warm water.

Bleach is a disinfectant. Do you have a need to disinfect?

Possibly you are thinking of vinegar and not bleach. Bleach should not be used but a small amount of vinegar will help in the mopping. 1/2 cup in a bucket of warm water, rines regularly.

I just had my mohawk laminate floor installed. I would like to clean the sawdust off. What should I use?

Do not use a wet mop.
First vac and broom any sawdust and then a very lightly dampened sponge mop.