Heat of combustion, those words, run together like that, describe a constant, for a fuel combustion reaction. We usually just publish the particular constant for a complete combustion, for simplicity, but I suppose there is one for incomplete combustion.
How to guarantee compete combustion is kind of a tricky. If there is "enough" oxygen, then probably. But what is enough? Generally, if you want complete combustion, say, because you want to experimentally determine heat of combustion, it's not enough to just add "plenty" of oxygen. You'd use pure oxygen, and a very limited amount of fuel, to make sure it gets a change to mix well.
Dunno if you're trying to figure out the definitions for class work, or build a better automotive engine, so it's hard to be more clear than that.