Abstract
The representation of chemical compounds and chemical networks with theve-degree andev-degree is a new idea, and it gives nice and good results of the topological descriptors. These results are utilized to relate the chemical compounds and chemical networks with their chemical properties and bioactivities. Also, theve-degree andev-degree topological descriptors are useful in calculation of pi-electron energy, decision-making, Kovats constants, boiling point and stability alkanes. In this article, particular attention will be put on the derivation ofve-degree andev-degree for the benzene ring embedded in the P-type surface network in 2DBR(p,q). In the end, the graphical representation and comparison of theve-degree andev-degree topological descriptors forBR(p,q) are discussed.