A. Roverato, M. Studeny: A graphical representation of equivalence classes of AMP chain graphs. Journal of Machine Learning Research 7 (2006), pp. 1045-1078.

This papers deals with chain graph models under alternative AMP interpretation. A new representative of na AMP Markov equivalence class, called the largest deflagged graph, is proposed. The representative is based on revealed internal structure of the AMP Markov equivalence class. More specifically, the AMP Markov equivalence class decomposes into finer strong equivalence classes and there exists a distinguished strong equivalence class among those forming the AMP Markov equivalence class. The largest deflagged graph is the largest chain graph in that distinguished strong equivalence class. A composed graphical procedure to get the largest deflagged graph on the basis of any AMP Markov equivalent chain graph is presented.

chain graph
AMP Markov equivalence
largest deflagged graph
strong equivalence
deflagging procedure
component merging procedure

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The paper partially builds on the following papers: