Graph theory and molecular distribution: Part I: copolycondensation of polyfunctional monomers bearing identical reactive groups

The equilibrium distribution for a random f-functional polycondensation system was derived by different probability arguments by Flory, Stockmayer, Good, Gordon, Whittle and others. The extension of these techniques to more complex systems involves abstract mathematics and often requires deriving probability generating functions. This study shows how Graph Theory allows one to obtain directly and readily theses molecular distribution functions in the most general systems of order I, i.e. consisting of various monomer units with different functionalities, all sites being identical and equireactive.