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A Markov property associates a set of conditional independencies to a graph. Two alternative Markov properties are available for chain graphs, the LWF and the AMP Markov property, which are different in general but coincide for the subclass of chain graphs with no flags. Markov equivalence induces partition of the class of chain graphs into equivalence classes. We consider the problem of the graphical characterization of equivalence classes of chain graphs by means of a suitable representative and, in particular, provide an unified approach to the problem that encompasses several existing results, providing in this way a unified view to the subject.