I recently found that there is actually a small field of research called mathematical chemistry. It seems that a lot of the research done in this field focuses on graph-theory as applied to chemistry, and topology as applied to defining the structure of molecules.
It's a bit disappointing to me that mathematical chemistry is not a larger field, but it also makes sense because for some reason chemistry does not seem to be as easily asbtracted into a mathematical framework as physics or biology. Note that I don't mean applying mathematical models to chemistry as we do this all the time. For instance, in mathematical physics, which is a very diverse field populated by people trained as both mathematicians and physicists, physical problems are reframed in a natural mathematical framework and solved accordingly. I think a lot of work on the Navier-Stokes equation would qualify as the type of work I mean.
So, is anybody aware of any notable results which have come from the field of mathematical chemistry? Furthermore, do any of these results indicate anything physical which we did not already know to be true? Also, an answer which addressed potential applications of some results of mathematical chemistry would be interesting.
I suppose I will say that I am looking for references as well as summaries so as to narrow the scope of the question.