what the others said. Plus, it isn't just the bar size in consideration, chain comes into play too. Low profile and narrower kerf chains reduce the amount of power needed to drive the chain through wood, though it does sacrifice some things (cutter longevity and efficiency, to name a couple) So you can get a saw with a 20 inch bar and a "small as possible" chain that may be stretching a saw's power threshold to the limit, but that usually comes in to around minimum of 45cc.
for a serious 20 inch bar & chain that does the job and does it well, you probably want to look at saws above 60cc. There ARE "farm duty" saws in the 50 to 55cc range that come standard with full size 20 inch bar & chain, and they work quite well, but would be somewhat underpowered for professional use (Though I know some loggers that buy them since they are cheaper, and use them for their landing/bucking saws) So, for running pretty much any 20 inch bar, you'd need to look at saws starting in the 50cc range and up.