dominating set of a graph G = (V,E) is a subset D of V such that every
vertex not in D is adjacent to at least one vertex in D. A dominating set D is a total
dominating set, if every vertex in V is adjacent to at least one vertex in D. The set P
is said to be an open packing set if no two vertices of P have a common neighbor in
G. In this paper, we obtain domination number, total domination number and open
packing number of the molecular graph of a new type of graphene named CorCor that
is a 2-dimensional carbon network.