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An opposite edge strip ops with respect to a given edge of a graph is the smallest subset of edges closed under taking opposite edges on faces. The Omega polynomial is a counting polynomial whose k-th coefficient is the number m(G,k) of ops containing k-edges. In this paper an exact formula for the Omega polynomial of the molecular graph of a new type of graphene named CorCor is given. As a consequence, the PI index of this nanostructure is computed.

Keywords: Omega polynomial, CorCor