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The representation of chemical compounds and chemical networks with the  ve -degree and  ev -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, the  ve -degree and  ev -degree topological descriptors are useful in calculation of  π -electron energy, decision-making, Kovats constants, boiling point and stability alkanes. In this article, particular attention will be put on the derivation of  ve -degree and  ev -degree for the benzene ring embedded in the P-type surface network in 2D  BR ( p ,  q ). In the end, the graphical representation and comparison of the  ve -degree and  ev -degree topological descriptors for  BR ( p ,  q ) are discussed.

Comparative Study of ve -Degree and ev -Degree Topological Descriptors for Benzene Ring Embedded in P-Type-Surface in 2D Network