APPROXIMATIONS OF REGULAR GRAPHS

The paper [11] raised the question of describing cardinality and types approximations for natural families theories. In present paper, a partial answer to this is given, study approximation topological properties classes theories also continued. We consider cycle graph consisting one or, in other words, certain number vertices (at least 3 if simple) connected into closed chain. It shown that an infinite approximated by finite graphs. Approximations regular graphs are considered. On hand, acyclic proved any pseudofinite. And also, k, k-regular homogeneous pseudofinite.Examples pseudofinite 3-regular 4-regular given.