For guitars or any of the string family insturments, I do know that the f-holes have a couple of functions. I read about this once, but it was a while ago. They're supposed to allow the belly plate--the area of the top--between the f-holes to vibrate more freely than the rest of the top and project sound. The f-holes also allow the air from the inside of the instrument to meet the air from the outside and different resonances of sound meet. There are two different resonance theories and patterns for f-hole guitars vs. center hole guitars, and the construction of each type are based upon these theories.
If I recall for center hole guitars, a well-crafted and dimensioned instrument balances the lower frequency of air on the inside (like blowing air over a jug) with the lowest frequency of the guitar top. The f-hole theory was pretty complicated and has been refined over the years. Serious violin, viola, cello, and double bass luthiers have collections of f-hole patterns and templates from all the great instruments, which they trade and swap and share.
I think the center hole construction is based on something called Hemholtz resonance and f-hole on Chaldini resonance. That's all I can remember. Sorry, Darryl. Wish I could explain it better.
That's all my addled mine can draw up to the surface this morning.