ABSTRACT
Throughout the present ch ^ te r we shall use the notation and terminology as introduced by Professor O.E. Pdansky in the chapter “Elements of Grs^h Theory for Chemists.” We shall also deal exclusively with simple graphs and their graphic polynomials, and also discuss the relevant chemical implications. It should not be forgotten, however, that graphs with wdghted edges and self-loops are of great importance in theoretical chemistry, for they represent heteroconjugated molecules. A great part of the theory which follows has been generalized to such graphs. For farther details on the characteristic pdynomials [2-8,181], matching polynomials [3,9,10] and quantum-chemical implications [11-14] of graphs with weighted edges and self-loops, the reader is invited to consult the literature cited.
