Graph theory has been used in chemistry to describe molecular structur
es, chemical reactions, and it has been particularly widely used in st
udies of the structure property relationship. On the other hand, the q
uantum mechanical approach to the molecular structure also leads to ex
pressions that offer descriptions of molecular properties. Little effo
rt was made in the past to combine the two approaches and investigate
how an approximate description of molecular properties relates to the
electronic structure of chemical compounds as computed from the quantu
m chemical stand point. We present a graph theoretical scheme for calc
ulation of the heat of formation of saturated compounds, based on quan
tum mechanically calculated atomic charges.