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Maximal ancestral graphs (MAGs) are used to encode conditional independencerelations in DAG models with hidden variables. Different MAGs may represent thesame set of conditional independences and are called Markov equivalent. Thispaper considers MAGs without undirected edges and shows conditions under whichan arrow in a MAG can be reversed or interchanged with a bi-directed edge so asto yield a Markov equivalent MAG.

Generating Markov Equivalent Maximal Ancestral Graphs by Single Edge Replacement