If you are concerned with charging the battery what color and how many wires come out of the alternator, and what color is the plug. If you need a larger or smaller alternator thy are just about all the same size but they also us different size magnets.
The only other wire you need to be concerned with is the kill wire to the magneto coils. Briggs need to be grounded to kill the spark NO current must be fed to the coils, If the carburetor has an antifire solenoid on it it will need current to run.