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Two graphs are $$I$$-equivalent if the $$d$$-separation between variables is the same. We can flip the directionality of any edge, unless it forms a v-structure, and the $$d$$-connectivity of the graph will be unchanged. We refer the reader to the textbook of Koller and Friedman for a full proof in Theorem 3.7 (page 77). +The below diagram illustrates the relationships between distributions, $$I$$-maps, and perfect maps. + +![I-map and P-map diagram](../../assets/img/Imap_Pmap_diagram.png) +
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